State The Domain Of The Function CalculatorThe calculator can find horizontal, vertical, and slant asymptotes. The domain of a function is the set of all allowable values of the independent variable, commonly known as the x x -values. The domain is all other x -values. Enter your function and hit calculate to find results; Output: Domain and range of the function; Is 7 a Domain or Range? 7 means y=7, and it indicates a straight line equation. Show Solution How To: Given a function written in equation form that includes a fraction, find the domain Identify the input values. The domain of a function is the set of all possible inputs for the function. A function which varies for different parts of the domain, so the domain is divided into segments, and each segment could have a different function. Rules to remember when finding the Domain of a Function We should always remember the following rules when finding the domain of a function:. The expression |x - 3| is positive for all real values except for x = 3 which makes it zero. Set that denominator equal to zero. Function domain is the set of all possible values of the argument at which the values of function are defined. f ( 2 x) = 1 (2 x)+3 f ( 2 x) = 1 ( 2 x) + 3. The domain of a function is the complete set of possible values of the independent variable. Examples finding the domain of. To find the domain of a function, we simply apply one of the above-mentioned rules of finding domain depending on the type of the function. These points are called x-intercepts and y-intercepts, respectively. Select the independent variable that will be taken into account for the calculation. That's a real number, so 0 is in. Decompose a composite function into its component functions. What are Zeros of a Function?. Let's say you're working with the following problem: Y =√ (x-7) 2 Set the terms inside the radicand to be greater than or equal to 0. Wolfram|Alpha is a great tool for finding the domain and range of a function. To determine the domain for the function we need to put different values of the variable and check for which values function is defined. State the domain. Hence, the domain of the exponential function is the entire real line. Coming to the point, its domain is all real numbers and range is 7 only. Remove these values from the set of all possible input values to find the domain of the function. What role do online graphing calculators play? Graphing calculators are an important tool for math students beginning of first year algebra. The Domain and Range Calculator is an online tool that calculates the domain and range of the input function without any hassle. it is sometimes helpful to find a single formula that will calculate the result of a composition f (g (x)). Solving this inequality, we get x ≥ -2. Conic Sections: Ellipse with Foci. This trace provides debug-level information for the error. The exponential function always results in a positive value. which looks like a stair step without the vertical components. To calculate the domain of the function, you must first evaluate the terms within the equation. Range set is the corresponding values of the function for different values of x. The Domain and Range Calculator finds all possible x and y values for a given function. More than just an online function properties finder. The use of this domain and range calculator will also ensure that you've found the correct answer. The asymptote calculator takes a function and calculates all asymptotes and also graphs the function. Determining whether values are in domain of function. if we are given some function , then its domain is all those. Similarly, the zeros of a function calculator takes the second value 2x-3 = 0. To find the domain of this function, we can follow these steps: Write down the function: f(x) = x−3 x2 +2 x −3. The online domain and range calculator with steps finds domain and range for a function in a couple of clicks. Conic Sections: Parabola and Focus. To find the domain of the function , or equivalently, , project each point on the graph of f onto the x -axis, as shown in Figure 9 (a). Step 1: Enter the formula for which you want to calculate the domain and range. When finding the domain, remember: The denominator (bottom) of a fraction cannot be zero. Finding the domain and range of a function using online calculators is a much easier than trying to solve the tricky math problem yourself. Sometimes the domain is restricted, depending on the nature of the function. The domain of a function, D D, is most commonly defined as the set of values for which a function is defined. A graphing calculator can be used to graph functions, solve equations, identify function properties, and perform tasks with variables. To find the domain of the function , or equivalently, , project each point on the graph of f onto the x -axis, as shown in Figure 9 (a). To perform the composition of functions you only need to perform the following steps: Select the function composition operation you want to perform, being able to choose between (f∘g) (x) and (g∘f) (x). Suppose we want to calculate how much it costs to heat a house on a particular day of the year. This trace provides debug-level information for the error. To find the domain of a function, consider any restrictions on the input values that would make the function undefined, including dividing by zero, taking the square root of a negative number, or taking the logarithm of a negative number. Choose "Find the Domain and Range" from the topic selector and click to see the result in our Calculus Calculator ! Examples. I'm going to look at the function x+5/x-3. Here's how you do it: x = all real numbers except 2 and -2 Method 3 Finding the Domain of a Function with a Square Root 1 Write the problem. Hence the domain of the given function is the set of all real values except 3, which can be written in interval form as follows (-∞ , 3) U (3 , +∞). Domain is the set of input values, while range is the set of output values. Our real zeros calculator determines the zeros (exact, numerical, real, and complex) of the functions on the given interval. We suggest you to read how to find zeros of a function and zeros of quadratic function first. This tools also computes the linear, quadratic, polynomial, cubic, rational, irrational, quartic, exponential, hyperbolic, logarithmic, trigonometric, hyperbolic, and absolute value function. This list appears only if you have multiple domains in your forest and each domain is represented by a step. Domain and Range Calculator Use this handy Domain and Range Calculator to get the exact answer for your function instantly. The Domain and Range Calculator is an online tool that calculates the domain and range of the input function without any hassle. Solution: The complex zero calculator can be writing the \ ( 4x^2 – 9 \) value as \ ( 2. Here are some examples: Example 1: To find the domain of a function f (x) = √ (x + 3), we apply the rule 2 mentioned above. If you are left with a fraction with polynomial expressions in the numerator and denominator, then the original expression is a rational expression. Find The Domain of Functions - Calculator. The calculator can find horizontal, vertical, and slant asymptotes. To see the actual error, select Stack Trace. Here's how you do it: x = all real numbers except 2 and -2 Method 3 Finding the Domain of a Function with a Square Root 1 Write the problem. What is an asymptote? In math, an asymptote is a line that a function approaches, but never touches. Explore math with our beautiful, free online graphing calculator. The function is undefined when the denominator is equal to zero, so we need to find the values of x that make the denominator equal to zero. The Domain and Range Calculator is an online tool that calculates the domain and range of the input function without any hassle. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. The domain calculator allows you to take a simple or complex function. Find the domain of the function f ( x) = x 2 − 1. The Domain and Range Calculator finds all possible x and y values for a given function. \small { \color {green} {\boldsymbol { \dfrac {3} {x} }}} x3. Identifying values in the domain. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Steps for Finding Intercepts, Asymptotes, Domain, and Range From the Graph of a Rational Function Step 1: Find all intercepts. What are the intercepts points of a function? The function intercepts points are the points at which. Conic Sections: Parabola and Focus. Algebra Domain of a Function Calculator Step 1: Enter the Function you want to domain into the editor. I'm going to look at the function x+5/x-3. Lesson 6: Determining the domain of a function. Note that all real numbers less than or equal to 4 are shaded on the x -axis. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Sort by: Top Voted Questions Tips & Thanks Want to join the conversation?. Explore math with our beautiful, free online graphing calculator. Enter the function you want to find the domain of into the editor and click on the blue arrow. If not, then it is not a rational expression. The function intercepts points are the points at which the function crosses the x-axis or the y-axis. That's a real number, so 0 is in the domain of the function. One of common ones is stair step function with domain 0≤x<1 y=1. All you need to do is enter the function in the input box and press the calculate button which is in blue colour to display the domain and range values of that particular function in seconds. Find The Domain of Functions - Calculator A step by step calculator to find the domain of a function. Find the Domain and Range y=csc (x) y = csc(x) y = csc ( x) Set the argument in csc(x) csc ( x) equal to πn π n to find where the expression is undefined. What are the intercepts points of a function? The function intercepts points are the points at which the function crosses the x-axis or the y-axis. Our real zeros calculator determines the zeros (exact, numerical, real, and complex) of the functions on the given interval. Find the domain of. If you want to know how to find the range of a function, just follow these steps. Free functions composition calculator - solve functions compositions step-by-step. 3) \) Where, it is (2x + 3) (2x-3). To find the x-intercepts of a function, set the value of y to 0 and solve for x. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values. State the domain. If you want to know how to find the range of a function, just follow these steps. The online domain and range calculator with steps finds domain and range for a function in a couple of clicks. Under the Synchronization Statistics heading, you can find more information about the number of changes that were processed. f (x)=x+5 - - - here there is no restriction you can put in. To identify a rational expression, factor the numerator and denominator into their prime factors and cancel out any common factors that you find. By browsing this website, you agree to our. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Step 2: Click the blue arrow to submit. Above all, the calculator is designed to identify forbidden numbers as well. Enter your function and hit calculate to find results; Output: Domain and range of the function; Is 7 a Domain or Range? 7 means y=7, and it indicates a straight line equation. Method 1 Finding the Range of a Function Given a Formula 1 Write down the formula. So, just enter the function and click the 'Find the Equation Domain and Range' in the calculator to find the solution. A step by step calculator to find the domain of a function. With just a few simple steps, you can determine the set of values that a function can accept as input. Kiodigital Domain and Range Calculator. Explore math with our beautiful, free online graphing calculator. Find the Domain (fog) (x) , f (x)=1/ (x+3) , g (x)=2/x (f og)(x) ( f o g) ( x) , f (x) = 1 x + 3 f ( x) = 1 x + 3 , g(x) = 2 x g ( x) = 2 x Set up the composite result function. Identify any restrictions on the input. If I plug in 3, I get 3+5/3-3, which turns into 8/0. Algebra Domain of a Function Calculator Step 1: Enter the Function you want to domain into the editor. The domain of a function f (x) f (x) is expressed as D (f) D(f). Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. To use the Domain Calculator, simply follow these three easy steps: Enter the function for which you want to calculate the domain. The domain of the function is therefore all x-values except those in the interval (0, 1), which we can indicate in interval notation using the union symbol as follows: (-∞, 0] ∪ [1, ∞) Note that it is also possible to use multiple union symbols to combine more intervals in the same manner. For example, the domain of f (x)=x² is all real numbers, and the domain of g (x)=1/x is all real numbers except for x=0. Enter a problem Algebra Examples Popular Problems Algebra Find the Domain (fg)(x) Step 1 The domainof the expressionis all real numbers except where the expressionis undefined. Wolfram|Alpha is a great tool for finding the domain and range of a function. A quadratic function has the form ax 2 + bx + c: f (x) = 2x 2 + 3x + 4 Examples of functions with fractions include: f (x) = ( 1 / x ), f (x) = (x + 1) / (x - 1), etc. Free functions intercepts calculator - find functions axes intercepts step-by-step. The domain of this function is the set of all values of x such that |x - 3| > 0. For example, a function f (x) f ( x) that is defined for real values x x in R R has domain R R, and is sometimes said to be "a function over the reals. f Given functions p (x) = 1 x p (x) = 1 x and m (x) = x 2 − 4, m (x) = x 2 − 4, state the domain of each of the following functions using interval notation:. Take and in the domain set. The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly. A rational expression is an expression that is the ratio of two polynomial expressions. The domain of a function is the set of all possible inputs for the function. It helps with concepts such as graphing functions, polynomials. To determine the domain and range of any function on a graph, the general idea is to assume that they are both real numbers, then look for places where no values exist. There are no restrictions on the input values specified in this function. Find Range of a Function - Calculator; Domain and Range of a Function; Graphs of Logarithmic Functions; Solve Logarithmic Equations - Detailed Solutions; Domain and. Piecewise Functions Calculator Algebra Pre Calculus Calculus Functions Linear Algebra Trigonometry Statistics Physics Chemistry Finance Economics Conversions Full pad Examples Related Symbolab blog posts Functions A function basically relates an input to an output, there’s an input, a relationship and an output. " The set of values to which D D is sent by the function is called the range. We can also define special functions whose domains are more limited. Evaluate composite functions. To determine the domain and range of any function on a graph, the general idea is to assume that they are both real numbers, then look for places where no values exist. A real-valued univariate function y= f (x) y = f ( x) is said to have an infinite discontinuity at a point x0 x 0 in its domain provided that either (or both) of the lower or upper limits of f f goes to positive or negative infinity as x x tends to x0 x 0. The domain of a function is the set of all possible inputs for the function. In its simplest form the domain is all the values that go into a function, and the range is all the values that come out. To find the domain of this function, we can follow these steps: Write down the function: f(x) = x−3 x2 +2 x −3. Piecewise Functions Calculator Algebra Pre Calculus Calculus Functions Linear Algebra Trigonometry Statistics Physics Chemistry Finance Economics Conversions Full pad Examples Related Symbolab blog posts Functions A function basically relates an input to an output, there’s an input, a relationship and an output. The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly. Find The Domain of Functions - Calculator \( \) \( \) \( \) A step by step calculator to find the domain of a function. To determine the domain for the function we need to put different values of the variable and check for which values function is defined. if we are given some function , then its domain is all those values of which we can input to the equation and get the result different from infinity and/or division by zero. Step 1: Enter the formula for which you want to calculate the domain and range. For further verification, you may put the expression in the online domain and range calculator. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. This means that when you place any x into the equation, you'll get your y value. f (g(x)) f ( g ( x)) Evaluate f ( 2 x) f ( 2 x) by substituting in the value of g g into f f. A function which varies for different parts of the domain, so the domain is divided into segments, and each segment could have a different function. Graphing Calculator Loading. Function domain is the set of all possible values of the argument at which the values of function are defined. To find the y-intercepts of a function, set the value of x to 0 and solve for y. What is an asymptote? In math, an asymptote is a line that a function approaches, but never touches. Step 2: Click the blue arrow to submit and see the result!. The asymptote calculator takes a function and calculates all asymptotes and. Solution The input value, shown by the variable x in the equation, is squared and then the result is lowered by one. Domain and Range Calculator Use this handy Domain and Range Calculator to get the exact answer for your function instantly. The inverse of the function is. It also shows plots of the function and illustrates the domain and range on a number line to enhance your mathematical intuition. Set -Builder Notation: {x|x ≠ πn} { x | x ≠ π n }, for any integer n n. Then copy the stack and look at the error in your favorite editor, such as Notepad. To find the domain, I need to identify particular values of x x that can cause the function to “misbehave” and exclude them as valid inputs to the function. Create a new function by composition of functions. To find the inverse of , replace x with y and y with x. Domain of a function calculator - y=2x-5 find Domain of a function, step-by-step online. A quadratic function has the form ax 2 + bx + c: f (x) = 2x 2 + 3x + 4. Try it today to improve your knowledge and. Domain is the set of input values, while range is the set of output values. To calculate the domain of the function, you must first evaluate the terms within the equation. The use of this domain and range calculator will also ensure that you've found the correct answer. The Domain and Range Calculator finds all possible x and y values for a given function. The domain of a function f (x) f (x) is expressed as D (f) D(f). Find Domain of Functions Popular Pages Find Range of a Function - Calculator Domain and Range of a Function Graphs of Logarithmic Functions Solve Logarithmic Equations - Detailed Solutions. So, just enter the function and click the 'Find the Equation Domain and Range' in the calculator to find the solution. It also shows plots of the function and illustrates. To use the Domain Calculator, simply follow these three easy steps: Enter the function for which you want to calculate the domain. The use of this domain and range calculator will also ensure that you've found the correct answer. Press the green “Calculate” button. Right-click the Call Stack Information box, click Select All, and then select Copy. Find the domain of the function f (x)= x2 −1 f ( x) = x 2 − 1. The domain is the set of real numbers. We can also define special functions whose domains are more limited. , then its domain is all those values of which we can input to the equation and get the result different from infinity and/or division by zero. That's a real number, so 0 is in the domain of the function. Find the domain of a composite function. The function curve gets closer and closer to the asymptote as it extends. The range of a function is the set of all output values (Y-values). Therefore, Domain = ℝ, Range = (0, ∞). To find the domain of this function, we can follow these steps: Write down the function: f(x) = x−3 x2 +2 x −3. In its simplest form the domain is all the values that go into a function, and the range is all the values that come out. For example, f (x) = x−1 x2−1 f ( x) = x − 1 x 2 − 1 (from our "removable. If you want to know how to find the range of a function, just follow these steps. The function curve gets closer and closer to the asymptote as it extends further out, but it never intersects the asymptote. Any real number may be squared and then be lowered by one, so there are no restrictions on the domain of this function. Method 1 Finding the Range of a Function Given a Formula 1 Write down the formula. Find the Domain and Range y=csc (x) y = csc(x) y = csc ( x) Set the argument in csc(x) csc ( x) equal to πn π n to find where the expression is undefined. The domain name can be found under the heading Partition. Algebra Domain of a Function Calculator Step 1: Enter the Function you want to domain into the editor. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. The Function Composition Calculator is an excellent tool to obtain functions composed from two given functions, (f∘g) (x) or (g∘f) (x). We use cookies to improve your experience on our site and to show you relevant advertising. Free piecewise functions calculator - explore piecewise function domain, range, intercepts, extreme points and asymptotes step-by-step. Above all, the calculator is designed to identify forbidden numbers as well. You are first presented with an overview of the object. Then copy the stack and look at the error in your favorite editor, such as Notepad. The Domain Calculator is a powerful tool that allows you to easily calculate the domain of any type of single-variable function. Free piecewise functions calculator - explore piecewise function domain, range, intercepts, extreme points and asymptotes step-by-step. Find The Domain of Functions - Calculator. Remove these values from the set of all possible input values to find the domain of the function. A rational expression is an expression that is the ratio of two polynomial expressions. Asymptotes Calculator Step 1: Enter the function you want to find the asymptotes for into the editor. To see the actual error, select Stack Trace. Click on Find the Domain and Range to get the results. How do you identify rational expressions? To identify a rational expression, factor the numerator and denominator into their prime factors and cancel out any common factors that you find. Asymptotes Calculator Step 1: Enter the function you want to find the asymptotes for into the editor. ( 26 votes) Danissia Magallanes 7 years ago At 2:22 Sal says that the definition is F. To find the domain of a function, consider any restrictions on the input values that would make the function undefined, including dividing by zero, taking the square root of a negative number, or taking the logarithm of a negative number. What is the formula for slope and y-intercept?. I'm going to look at the function x+5/x-3 If I plug in 0, I get 0+5/0-3, which turns into -5/3. So, the domain of the above function is all non negative real numbers. To find the domain of a rational function: Take the denominator of the expression. ( 2 votes) louisaandgreta 2 years ago. The domain of the function is therefore all x-values except those in the interval (0, 1), which we can indicate in interval notation using the union symbol as follows: (-∞, 0] ∪ [1, ∞) Note that it is also possible to use multiple union symbols to combine more intervals in the same manner. To solve a rational expression start by simplifying the expression by finding a common factor in the numerator and denominator and canceling it out. To find the domain of a function, we simply apply one of the above-mentioned rules of finding domain depending on the type of the function. The domain of a function is the set of all allowable values of the independent variable, commonly known as the x x -values. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values. Our online calculator (based on the Wolfram Alpha system) is able to find domain for almost any, even very. If I plug in 0, I get 0+5/0-3, which turns into -5/3. Find the domain of the function f ( x) = x 2 − 1. Algebra Domain of a Function Calculator Step 1: Enter the Function you want to domain into the editor. Function domain online calculator Function domainis the set of all possible values of the argument at which the values of function are defined. In its simplest form the domain is all the values that go into a function, and the range is all the values that come out. Solve the resulting equation for the zeroes of the denominator. For each number that you want to know whether or not it is in the domain, you plug in that number for x, and see if the answer makes sense. Examines the range in which the domain of a certain mathematical function exists. The function is undefined when the denominator is equal to zero, so we need to find the values of x that make the denominator equal to zero. Any real number may be squared and then be lowered. x = πn x = π n, for any integer n n The domain is all values of x x that make the expression defined. Step by step calculator to find domain of functions. If there is a denominator in the function’s formula, set the denominator equal to zero and solve for x x. Domain is the set of input values, while range is the set of output values. That's a real number, so 0 is in the domain of the function. Enter a problem Algebra Examples Popular Problems Algebra Find the Domain (fg)(x) Step 1 The domainof the expressionis all real numbers except where the expressionis undefined. Is a Function; Domain; Range; Domain & Range; Vertex; Periodicity; Amplitude; Shift; Frequency; Inverse; Intercepts; Parity; Symmetry; Asymptotes; Critical. For each number that you want to know whether or not it is in the domain, you plug in that number for x, and see if the answer makes sense. I'm going to look at the function x+5/x-3 If I plug in 0, I get 0+5/0-3, which turns into -5/3. The Domain Calculator is a powerful tool that allows you to easily calculate the domain of any type of single-variable function. Asymptotes Calculator Step 1: Enter the function you want to find the asymptotes for into the editor. When you press this button, the solution will automatically appear. Functions with a root include: f (x) = √x, f (x) = √ (x 2 + 1), f (x) = √-x, etc. A new window will pop up with many options for your math query. f (x)=x+5 - - - here there is no restriction you can put in any value for x and a value will pop out. To find the x-intercepts of a function, set the value of y to 0 and solve for x. The function is undefined when the denominator is equal to zero, so we need to find the values of x that make the denominator equal to zero. Right-click the Call Stack Information box, click Select All, and then select Copy. Thus, the range of the exponential function is of the form y= a x is {y ∈ ℝ: y > 0}. How do you identify rational expressions? To identify a rational expression, factor the numerator and denominator into their prime factors and cancel out any common factors that you find. Choose "Find the Domain and Range" from the topic selector and click to see the result in our Calculus Calculator ! Examples. The domain of a function is the complete set of possible values of the independent variable. With just a few simple steps, you can determine the. Step 2 : (c) The function is. I'm going to look at the function x+5/x. For finding zeros of a function, the real zero calculator set the above expression to 0. The domain of a function is all values of x, those makes the function mathematically correct. You are first presented with an overview of the object. The function y = a x, a ≥ 0 is defined for all real numbers. Since , the function is said to be one-to-one function. There are no restrictions on the input values specified in this function. Asymptotes Calculator Step 1: Enter the function you want to find the asymptotes for into the editor. Select the links to get a list of the changed. Find the Domain (fog) (x) , f (x)=1/ (x+3) , g (x)=2/x (f og)(x) ( f o g) ( x) , f (x) = 1 x + 3 f ( x) = 1 x + 3 , g(x) = 2 x g ( x) = 2 x Set up the composite result function. Free piecewise functions calculator - explore piecewise function domain, range, intercepts, extreme points and asymptotes step-by-step. More than just an online function properties finder. What are the intercepts points of a function? The function intercepts points are the points at which the function crosses the x-axis or the y-axis. The domain of a function is the complete set of possible values of the independent variable. The function intercepts points are the points at which the function crosses the x-axis or the y-axis. State the domain and range for each along with the equation of any asymptotes. Check your graph using a graphing calculator. Step 1: Enter the formula for which you want to calculate the domain and range. Function domain online calculator Function domainis the set of all possible values of the argument at which the values of function are defined. To find the y-intercepts of a function, set the value of x to 0 and solve for y. To find the domain of a function, consider any restrictions on the input values that would make the function undefined, including dividing by zero, taking the square root of a. Not only this, but you will also get results in proper set interval notations. The function curve gets closer and closer to the asymptote as it extends further out, but it never intersects the asymptote. Since there shouldnot be any negative numbers in the cube root. Find The Domain of Functions - Calculator A step by step calculator to find the domain of a function. To find the domain of this function, we can follow these steps: Write down the function: f(x) = x−3 x2 +2 x −3. A rational expression is an expression that is the ratio of two polynomial expressions. Sometimes the domain is restricted, depending on the nature of the function. What are the 3 types of asymptotes? There are 3 types of asymptotes: horizontal, vertical, and oblique. We can also define special functions whose domains are more limited. A graphing calculator can be used to graph functions, solve equations, identify function properties, and perform tasks with variables. For each number that you want to know whether or not it is in the domain, you plug in that number for x, and see if the answer makes sense. Find The Domain of Functions - Calculator. To use the Domain Calculator, simply follow these three easy steps:. A step by step calculator to find the domain of a function. You are first presented with an overview of the object. In plain English, this definition means: The domain is the set of all possible x-values which will. More than just an online function properties finder. Step 1: Enter the formula for which you want to calculate the domain and range. Hence, the domain of f is Domain = = {x: }. The domain of a function is the set of all acceptable input values (X-values). To find the domain of a function, consider any restrictions on the input values that would make the function undefined, including dividing by zero, taking the square root of a negative number, or taking the logarithm of a negative number. For each number that you want to know whether or not it is in the domain, you plug in that number for x, and see if the answer makes sense. The -intercept (s) are points where the graph of the function.