Question

the function f is given by the graph below.
step 2 of 2: determine the value(s) of the local extrema you identified in the previous step. write dne for all extrema that do not exist. separate multiple answers with a comma, if necessary.

Explanation:

Step1: Identify local minima and maxima

A local minimum is a point where the function changes from decreasing to increasing. A local maximum is a point where the function changes from increasing to decreasing.
From the graph, we can observe the following:

• For the local minimum: The \(y -\)coordinate of the local minimum point.
• For the local maximum: The \(y -\)coordinate of the local maximum point.

Step2: Determine the \(y -\)values

Looking at the graph:

• The local minimum occurs at \(y=-4\) (the lowest point in its immediate neighborhood).
• The local maximum occurs at \(y = 1\) (the highest point in its immediate neighborhood).

Answer:

\(-4,1\)