finding local maxima and minima of a function given the graph use the graph to find the following. if there…

finding local maxima and minima of a function given the graph 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:

finding local maxima and minima of a function given the graph 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:

Answer

Explanation:

Step1: Identify local minima points

Local minima are points where the function changes from decreasing to increasing. From the graph, we can see the local - minima points.

Step2: Determine local minimum values

The local minimum values are the $y$ - coordinates of the local minima points. The local minimum values occur at $y = 0$.

Step3: Determine $x$ - values of local minima

The $x$ - values at which the local minima occur are the $x$ - coordinates of the local minima points. The function $g$ has local minima at $x=-3,3$.

Answer:

All local minimum values of $g$: $0$ All values at which $g$ has a local minimum: $-3,3$