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

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

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

Answer

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