Determine if Odd, Even, or Neither 4x

$4 x$

Write $4 x$ as a function.

$f (x) = 4 x$

Find $f (- x)$ .

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

$f (- x) = 4 (- x)$

Multiply $- 1$ by $4$ .

$f (- x) = - 4 x$

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

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

$- 4 x$ $\neq$ $4 x$

Since $- 4 x$ $\neq$ $4 x$ , the function is not even.

The function is not even

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

Multiply $4$ by $- 1$ .

$- f (x) = - 4 x$

Since $- 4 x = - 4 x$ , the function is odd.

The function is odd