skymarten367Lv1
18 Nov 2021
Problem 6
Page 88
Section: Principles of Problem Solving
Chapter 1: Functions and Models
Textbook ExpertVerified Tutor
18 Nov 2021
Given information
One needs to sketch the graph for the given function.
Step-by-step explanation
Step 1.
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,