Find the domain of a square root function calculator

How to Find the Domain of Square Root Functions? Graphing Radical Functions & Equations, Transformations, Domain & Rangle, Plotting Points, Algebra

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Before we proceed, I also would like to let you know that I have a separate lesson on how to find the domain and range of radical and rational functions. The domain of a function is the set of all allowable values of the independent variable, commonly known as the x-values. The range of a function is the set of output values when all x-values in the domain are evaluated into the function, commonly known as the y-values. This means I need to find the domain first in order to describe the range. To find the range is a bit trickier than finding the domain. Since there are no x-values that can make the function to output invalid results, I can easily claim that the domain is all x values.

Easy to understand math lessons on DVD. Try before you commit. The domain of a function is the complete set of possible values of the independent variable. The domain is the set of all possible x -values which will make the function "work", and will output real y -values. This will make the number under the square root positive. In general, we determine the domain of each function by looking for those values of the independent variable usually x which we are allowed to use.

In mathematics, the domain of a function tells you for which values of x the function is valid. This means that any value within that domain will work in the function, while any value that falls outside of the domain will not. Some functions such as linear functions have domains that include all possible values of x. Others such as equations where x appears within the denominator exclude certain values of x to avoid dividing by zero. Square root functions have more restricted domains than some other functions, since the value within the square root known as the radicand has to be a positive number.

Intro Examples More Examples. The first two square-root graphs on the previous page were in the customary square-root shape of an arc. The last graph on the previous page, though, looked more like a "V", but with a rounded bottom rather than the sharp-elbowed bottom expected on an absolute-value graph. While most of the square-root functions you'll be given will graph as arcs, some will not, and these other-shaped graphs will become more common if you proceed to calculus. However, the basic process is still the same; namely, first find the domain, and then plot enough points that you have a good idea of where the graphed line should go. And, of course, if you have a graphing calculator, check your work!

Domain and Range Calculator

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Algebra all content Functions Determining the domain of a function. Domain of a radical function. Worked example: domain of algebraic functions. 