Domain And Range Of A Root Function
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What is the range of f x x.
Domain and range of a root function. First determine the domain restrictions for the following functions then graph each one to check whether your domain agrees with the graph. This precalculus video tutorial explains how to find the domain of a square root function. We know that the square root of something always results in a non negative value.
Note that there is no problem taking a cube root or any odd integer root of a negative number and the resulting output is negative it is an odd function. It also contains examples and practice problems showing you how t. When you are defining the domain of a function it can help to graph it especially when you have a rational or a function with an even root.
So the domain of the square root function is the set of all real numbers greater than or equal to dfrac b a. For the cube root function f x sqrt 3 x the domain and range include all real numbers. The function y sqrt ax b is defined only for x geq dfrac b a.
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