Question

here is a graph of the function g. use the graph to find the following. if there is more than one answer, separate them with commas. all local minimum values of g: all values at which g has a local minimum:

Explanation:

Step1: Identify local minimum values

A local minimum value is the y - value of a local minimum point. From the graph, the local minimum points are at \((-3, 0)\) and \((3, 0)\). So the local minimum values (the y - coordinates) are \(0\) (since both points have a y - value of \(0\)).

Step2: Identify x - values for local minimum

The values at which \(g\) has a local minimum are the x - coordinates of the local minimum points. The x - coordinates of the local minimum points are \(-3\) and \(3\).

Answer:

All local minimum values of \(g\): \(0\)
All values at which \(g\) has a local minimum: \(-3, 3\)