Precalculus Examples

$f (X) = | 2 x |$

Step 1

Remove non-negative terms from the absolute value.

$f (X) = 2 | x |$

Step 2

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

$f (- X) = 2 | x |$

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 $2 | x | = 2 | x |$ , the function is even.

The function is even

Step 4