the function f is given by the graph below. step 1 of 2: use the graph to determine the locations and type…

the function f is given by the graph below. step 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.

the function f is given by the graph below. step 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: Recall local - extrema definition

Local extrema occur where the function changes from increasing to decreasing (local maximum) or from decreasing to increasing (local minimum).

Step2: Analyze the graph

The function is decreasing before (x = 0) and increasing after (x = 0).

Step3: Determine the local - extrema

There is a local minimum at the point ((0,- 3)). There are no local maxima.

Answer:

Local minimum at ((0,-3))