Chapter 6.3, Problem 3AYU

True or False The function $f(x)\text{=}\sqrt{x}$ is even. (pp.81-83)

To determine

The function $f\left(x\right)=\sqrt{x}$ is even.

Answer to Problem 3AYU

Solution:

False.

Explanation of Solution

$f\left(x\right)=\sqrt{x}$

$f\left(-x\right)=\sqrt{-x}=i\sqrt{x}$

$f\left(x\right)\ne f\left(-x\right)$

Therefore $f\left(x\right)$ is neither even nor odd.