Enter the formula for which you want to calculate the domain and range.

Free Domain and Range Calculator helps you find the input and output values of functions. Answers, graphs and number lines.

Your input: find the domain and range of $$$f=\frac{1}{x - 1}$$$ $$$\left(-\infty, 1\right) \cup \left(1, \infty\right)$$$ $$$\left(-\infty, 0\right) \cup \left(0, \infty\right)$$$ For graph, see graphing calculator.

Formally we say that the set of all values of output corresponding to its input of a function is its Range. The Range of a function is written as Rf={ y : a<y<b } or a similar expression.

Free Online functions domain and range calculator - find functions domain and range step-by-step

Hence, the domain and range of a square root function are given as: Domain = [-b/a,∞), Range = [0,∞) Example: Calculate the domain and range of the function h(x) = 2- √(-3x+2).

The range of this function is "all values of `y` such that `y>0`", otherwise written as `(0,oo),` or `{y in RR\ |\ y>0 }.` We don't include `0` because the curve never quite touches the `x`-axis. See more exponential functions. ... Graph of `y=2^x`, an exponential function. Now let's consider the function `f(t) = 2t^3-6t^2+5t+1.` The domain of this function is "all possible `t`-values". We could write this as `(-oo,oo)`.

September 19, 2020 - The procedure to use the domain and range calculator is as follows: Step 1: Enter the function in the input field Step 2: Now click the button “Calculate Domain and Range” to get the output Step 3: Finally, the domain and range will be displayed ...

When asked to find the domain of a function, start with the easy stuff: first look for any values that cause you to divide by zero. Remember also that we cannot take the square root of a negative number, so keep an eye out for situations where the radicand (the "stuff" inside the square root sign) could result in a negative value. In that case, it would not be a valid input so the domain would not include such values. Range: The range is the set of all possible output values (commonly the variable y, or sometimes expressed as \(f(x)\)), which result from using a particular function.

Domain and Range Calculator. Step1: Enter Function such as f(x)=x^2 + 3. Step2: Press the SOLVE button. Find Domain and Range for any Function in Seconds.

The graph of the curve y = sin ... experiment, and from observing the curve, we can see the range is y betweeen −1 and 1. We could write this as −1 ≤ y ≤ 1....

October 6, 2021 - If there is a denominator in the ... greater than or equal to 0, and then solve. Write the domain in interval form, making sure to exclude any restricted values from the domain....

Since there is an even root, exclude any real numbers that result in a negative number in the radicand. Set the radicand greater than or equal to zero and solve for [latex]x[/latex]. The solution(s) are the domain of the function. If possible, write the answer in interval form.

It helps to visualize how x and y values are related · Enter the standard mathematical expression by following these rules: ✅ Use lowercase letters ✅ Always use x as the variable ... 💡 Note: If you enter an invalid expression, the calculator will display an error message indicating ...

June 20, 2025 - For a data set: Domain = all unique x-values; Range = all unique y-values. The Domain and Range Calculator applies these rules instantly and, for functions, tries to analyze both algebraically and by sampling values.

A TI-84 Plus calculator cannot find the domain and range of a function directly, but it can help you graph the function and estimate its domain and range. Here are the steps you can follow: Press the "Y=" button to enter the function you want to graph.

December 18, 2022 - None of those require a calculator. Domain and range can be found by observing the function and it's inverse and finding out the points where it isn't defined. Exclude those points and you get the domain and range.

Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

July 27, 2022 - If there is a denominator in the ... greater than or equal to 0, and then solve. Write the domain in interval form, making sure to exclude any restricted values from the domain....