Chapter 1.3, Problem 77E

To determine

Tograph:Graph the function using graphing utility.

Explanation of Solution

Given information:The given function is $f\left(x\right)=\left|x+2\right|$

Graph: Using graphing calculator the graph of the function is shown below

  

Interpretation:

A function $y=f\left(x\right)$ is said to be an even function if the graph of the function is symmetrical about y-axis. Algebraically, $y=f\left(x\right)$ is even if $f\left(-x\right)=f\left(x\right)$ for all x in the domain.

Similarly, a function $y=f\left(x\right)$ is said to be an odd function if the graph of the function is symmetrical about origin. Algebraically, $y=f\left(x\right)$ is even if $f\left(-x\right)=-f\left(x\right)$ for all x in the domain.

Here the graph of the function is neither symmetric about y-axis nor about origin

Therefore, the given function is neither even nor odd.