Algebra Examples

$f (x) = | x | + 2$

Step 1

Find $f (- x)$ .

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

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

Make $- x$ positive.

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

Step 2

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

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

$| x | + 2 = | x | + 2$

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

The function is even

Step 3