Determine if Odd, Even, or Neither h(x)=7x^2

$h (x) = 7 x^{2}$

Step 1

Find $f (- x)$ .

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

$h (- x) = 7 {(- x)}^{2}$

Apply the product rule to $- x$ .

$h (- x) = 7 ({(- 1)}^{2} x^{2})$

Raise $- 1$ to the power of $2$ .

$h (- x) = 7 (1 x^{2})$

Multiply $x^{2}$ by $1$ .

$h (- x) = 7 x^{2}$

Step 2

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

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

Since $7 x^{2} = 7 x^{2}$ , the function is even.

The function is even

Step 3