Chapter 8.4, Problem 18E

To determine

Tofind: whether the function represented by the graph is even, odd or neither.

Answer to Problem 18E

Function represented by the graph is neither even nor odd.

Explanation of Solution

Giveninformation:

  

Calculation:

A function is even function if $f\left(-x\right)=f\left(x\right)$ for every x in its domain. Therefore, the graph of an even function is symmetric about y-axis.

Also, a function is odd function if $f\left(-x\right)=-f\left(x\right)$ for every x in its domain. Therefore, the graph of an odd function is symmetric about origin.

Now, the graph of given function is

  

This is neither symmetric about y-axis nor symmetric about origin.

Therefore, function represented by the graph is neither even nor odd.