Question

How many turning points are in the graph of the polynomial function?

A. 4 turning points
B. 5 turning points
C. 6 turning points
D. 7 turning points

Answer 1

Technically speaking, the answer is 5 because of where the curves are located.

Never mind my speech, just look at the graph, the answer is 5.

Answer 2

Option B is correct that is 5 turning points

Explanation:

Turning points are those points where graph changes its direction from upward to downward

And downward to upward

We can see that graph is changing its direction at 5 different points and the points are

(-5,6) ,(-3,-3) ,(0.5,0.5) ,(3,2.5) ,(5,5)

Hence, option B is correct that is 5 turning points.