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)\\e f(-x)\text{ and}f(-x)\\e-f(x)`

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

Therefore, the answer is neither.