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home > math - 115 - 70 fall 2025 > assessment\n3.3 rates of change and behavior of graphs\nscore: 7/22 answered: 7/22\nquestion 8\nmark the local extrema on the following graph.

home > math - 115 - 70 fall 2025 > assessment\n3.3 rates of change and behavior of graphs\nscore: 7/22 answered: 7/22\nquestion 8\nmark the local extrema on the following graph.

Answer

Explanation:

Step1: Recall local extrema definition

Local extrema are local maximum and minimum points. A local maximum is a point where the function value is greater than the values at nearby points, and a local minimum is a point where the function value is less than the values at nearby points.

Step2: Analyze the graph

Looking at the given graph, we can see that there is a local maximum near (x = - 3) and the function value at this point is around (y = 15). There is a local minimum near (x=0) and the function value at this point is around (y = 0).

Answer:

Mark a dot near the point ((-3,15)) for the local - maximum and a dot near the point ((0,0)) for the local - minimum.