Question

select all points where relative minimum values occur on this graph of a polynomial function. a b c d e

Explanation:

Step1: Recall the definition of relative minimum

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

Step2: Analyze each point

• For point A: The function changes from increasing to decreasing (relative maximum).
• For point B: The function changes from decreasing to increasing (relative minimum).
• For point C: It is just a point on the graph, not a local extremum (no change in increasing/decreasing trend around it in the relevant neighborhood).
• For point D: The function changes from decreasing to increasing (relative minimum).
• For point E: It is just a point on the graph, not a local extremum (no change in increasing/decreasing trend around it in the relevant neighborhood).

Answer:

B, D