Question

1. consider the adjacent graph: 7a does the function have an absolute maximum or minimum? the correct option was a yes, it has an absolute maximum. a no, it does not have either. b yes, it has an absolute minimum. c 7b are there any local maximums or minimums? select all that apply. no, there are neither. a yes, there are local minimums. b yes, there are local maximums. c

Explanation:

Step1: Analyze local minima

A local minimum is a point where the function changes from decreasing to increasing. In the graph, at \(x = 2\), the function has a local minimum. So, "Yes, there are local minima" (Option B) is correct.

Step2: Analyze local maxima

A local maximum is a point where the function changes from increasing to decreasing. In the graph, there is a point (between \(x = 2\) and \(x = 3\)) where the function has a local maximum. So, "Yes, there are local maxima" (Option C) is correct.

Answer:

B. Yes, there are local minimums.
C. Yes, there are local maximums.