Algebra Examples

$\sqrt{5 x}$

Write $\sqrt{5 x}$ as a function.

$f (x) = \sqrt{5 x}$

Find $f (- x)$ .

Tap for more steps...

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

$f (- x) = \sqrt{5 (- x)}$

Multiply $- 1$ by $5$ .

$f (- x) = \sqrt{- 5 x}$

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

Tap for more steps...

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

$\sqrt{- 5 x}$ $\neq$ $\sqrt{5 x}$

Since $\sqrt{- 5 x}$ $\neq$ $\sqrt{5 x}$ , the function is not even.

The function is not even

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

Tap for more steps...

Multiply $- 1$ by $\sqrt{5 x}$ .

$- f (x) = - \sqrt{5 x}$

Since $\sqrt{- 5 x}$ $\neq$ $- \sqrt{5 x}$ , the function is not odd.

The function is not odd

The function is neither odd nor even