Answer:
2 points: b, d
Step-by-step explanation:
Given the graph of a cubic function, you want to know the number of relative extreme points.
Relative extreme
A point is a relative extreme if the points on either side of it are both less than or both greater than the extreme point. A relative extreme is a peak point or valley point on a graph, a point where the slope is zero, and changes sign from one side of the point to the other.
Application
The relative extremes on the given graph are labeled 'b' and 'd'. There are two relative extremes.
__
Additional comment
Point 'b' is a relative minimum, where the slope changes from decreasing to increasing, and adjacent points are more positive. Point 'd' is a relative maximum, where the slope changes from increasing to decreasing, and adjacent points are more negative.
An "absolute extreme" is a relative extreme such that no points anywhere on the graph are more extreme.
The number of relative extremes a polynomial graph may have is 1 less than the degree of the polynomial. This can help you determine the degree from the number of extremes, or the number of extremes from the degree.
