Question

the function f is given by the graph below. step 2 of 2: determine the values 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: Recall the definition of local minima

A local minimum is a point where the function changes from decreasing to increasing.

Step2: Analyze the graph

Looking at the graph, we can see that the function has a local minimum. By observing the \(y -\)coordinate of the lowest point in the relevant part of the graph. The local minimum occurs at \(y = 6\) (assuming each grid square is of unit length. If we consider the vertex of the parabola - like part of the graph, and count the units from the \(x -\)axis).

Answer:

\(6\)