Problem 6

Given information

One needs to sketch the graph for the given function.

Step-by-step explanation

One can observe that if the  is replaced by  in the given function, then one will get the same expression as in  on the right side due to square of , thus, the given function is symmetric about the axis. 

Considering the case when , the function can be written as .

Case 1: when , the function will be;

case 2: when , the function will be;

case 3: when , the function will be,

Since the graph is symmetric about - axis, the graph will be the same for as it is for . Therefore, the graph will be,