question 4 of 13, step 1 of 2\n3/15\ncorrect\nstep 1 of 2: use the graph to determine the locations and type…

question 4 of 13, step 1 of 2\n3/15\ncorrect\nstep 1 of 2: use the graph to determine the locations and type of the local extrema. write dne for all extrema that do not exist. separate multiple answers with a comma, if necessary.

question 4 of 13, step 1 of 2\n3/15\ncorrect\nstep 1 of 2: use the graph to determine the locations and type of the local extrema. write dne for all extrema that do not exist. separate multiple answers with a comma, if necessary.

Answer

Explanation:

Step1: Identify local maxima

A local maximum occurs where the function changes from increasing to decreasing. Looking at the graph, we can see a local maximum around $x=- 5$. The $y -$value at this local maximum is above $y = 5$.

Step2: Identify local minima

A local minimum occurs where the function changes from decreasing to increasing. The graph has a local minimum at $x = 0$ with $y=0$.

Answer:

Local maximum: $(-5,y_{max})$ (where $y_{max}>5$), Local minimum: $(0,0)$