Question

Determine whether the function is even, odd, or neither. f(x)= 4 x−−−√

Answer 1

Given:

$f(x)=\sqrt[]{4x}$

To determine whether the function is even, odd, or neither:

Put x=-x

we get,

$\begin{gathered} f(-x)=\sqrt[]{4(-x)} \\ =2\sqrt[]{-x} \end{gathered}$

Since,

$f(x)\ne f(-x)\text{ and}f(-x)\ne-f(x)$

Hence, this given function is neither odd nor even function.

Therefore, the answer is neither.