Precalculus Examples

${| x |}^{3}$

Step 1

Write ${| x |}^{3}$ as a function.

$f (x) = {| x |}^{3}$

Step 2

Find $f (- x)$ .

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Step 2.1

Find $f (- x)$ by substituting $- x$ for all occurrence of $x$ in $f (x)$ .

$f (- x) = {| - x |}^{3}$

Step 2.2

Make $- x$ positive.

$f (- x) = {| x |}^{3}$

Step 3

A function is even if $f (- x) = f (x)$ .

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Step 3.1

Check if $f (- x) = f (x)$ .

Step 3.2

Since ${| x |}^{3} = {| x |}^{3}$ , the function is even.

The function is even

Step 4