Question

home > math - 115 - 70 fall 2025 > assessment
3.3 rates of change and behavior of graphs
score: 7/22 answered: 7/22
question 8
mark the local extrema on the following graph.

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.