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Determine if the function defined by the given equation is odd, even or neither.$$f(x)=\left|x^{5}\right|$$

Even

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

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Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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Determine whether the func…

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Determine if the function …

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to determine why their function is odd evil. Neither we use the definition here gives the definition of even function and out function the most important parts to test whether function satisfies the definition is to find the expression of F minor set to find minor sex. We just need to replace X with minors X in the expression of FX in this exercise FX, because the absolute value off X to the fifth part. So we replace X with Minors X, which gives f minus X equals the absolute value of minor sex to the fifth power, which equals the absolute value of X to the fifth Power and enhance. We can see that f X equals f minor sex, and this function is even function since it satisfies the definition off even function.

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