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which point is a relative minimum?

Question

which point is a relative minimum?

Explanation:

Step1: Recall relative - minimum definition

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

Step2: Analyze each point

  • Point A: The function is decreasing before A and increasing after A.
  • Point B: It is just an intercept, not a relative - minimum.
  • Point C: It is an x - intercept, not a relative - minimum.
  • Point D: The function is increasing before D and decreasing after D, so it is a relative maximum.

Answer:

A. A