Precalculus Examples

$g (X) = - 6 x^{4} + 3 x^{2}$

Step 1

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

$g (- X) = - 6 x^{4} + 3 x^{2}$

Step 2

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

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Step 2.1

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

Step 2.2

Since $- 6 x^{4} + 3 x^{2} = - 6 x^{4} + 3 x^{2}$ , the function is even.

The function is even

Step 3