Question

the graph of ( y=(x + 2)(x - 2)(x + 1) ) is shown which point is a relative minimum? b c a d

Explanation:

Step1: Recall the definition of relative minimum

A relative minimum is a point on the graph where the function changes from decreasing to increasing.

Step2: Analyze each point

• Point A: The function changes from increasing to decreasing (relative maximum).
• Point B: The function is still decreasing.
• Point C: The function changes from decreasing to increasing (relative minimum).
• Point D: It is an \(x -\)intercept, not a relative minimum.

Answer:

C