Question

consider points a, b, and c in the graph. determine which of these points is relative maxima on the interval x = -1 and x = 1 in the graph.
a) a and b
b) c
c) a

Explanation:

Step1: Recall relative maxima definition

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

Step2: Analyze points in interval

In the interval $x = - 1$ to $x = 1$, point $a$ is where the function changes from increasing to decreasing. Point $b$ is outside the interval $x=-1$ to $x = 1$, and point $c$ is where the function is increasing.

Answer:

C. $a$