Question: (a) Graph y = x 2 , y = x, y = |x|, and y = (x) 2 , noting which graphs are the same.

(a) Graph y = √x2, y = x, y = |x|, and y = (√x)2, noting which graphs are the same.

(b) Explain why the graphs of y = √x2 and y = |x| are the same.

(c) Explain why the graphs of y = x and y = (√x)2 are not the same.

(d) Explain why the graphs of y = √x2 and y = x are not the same.

Step by Step Solution

3.36 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Lets graph the given functions one by one Graph of y x2 This is the same as y x because x2 gives the positive square root of x2 and the absolute val... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!