Question

1. select all the points that are relative maximums of the polynomial function.

a. point a
b. point b
c. point c
d. point d
e. point e
f. point f
g. point g

Explanation:

Step1: Recall the definition of relative maximum

A relative maximum of a function is a point where the function changes from increasing to decreasing.

Step2: Analyze each point

• Point \(A\): The function is crossing the \(x -\)axis, not a relative maximum.
• Point \(B\): The function changes from decreasing to increasing, so it is a relative minimum.
• Point \(C\): The function changes from increasing to decreasing, so it is a relative maximum.
• Point \(D\): The function changes from decreasing to increasing, so it is a relative minimum.
• Point \(E\): The function is crossing the \(x -\)axis, not a relative maximum.
• Point \(F\): The function is crossing the \(x -\)axis, not a relative maximum.
• Point \(G\): The function changes from decreasing to increasing, so it is a relative minimum.

Answer:

C. Point \(C\)