Question

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. local minimum value(s):

Answer 1

In the figure, the value of local minimum values is located at point (-6, 8)

What is local minimum?

A local minimum is a point on the graph of a function where the function takes on its smallest value in a particular neighborhood of that point.

This is a low point in the vicinity of the point being considered.

Examining the graph, the low point of the interval displayed by the graph have coordinates of (-6, 8) and this is the local minimum value.

The value is not absolute minimum value because the graph continued at both ends and this part is not shown

Answer 2

In the previous function the local minimum value corresponds to (-6,8).