here is a graph of the function g. use the graph to find the following. if there is more than one answer…

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:

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:

Answer

Explanation:

Step1: Identify local - minimum concept

A local minimum of a function is a point where the function value is less than or equal to the values at nearby points. On a graph, it appears as a "valley".

Step2: Locate local - minimum on graph

Looking at the graph of (y = g(x)), the lowest point (the "valley") is at the point ((- 1,-4)).

Step3: Determine local - minimum value

The local - minimum value of the function (g) is the (y) - coordinate of the local - minimum point. So the local - minimum value of (g) is (-4).

Step4: Determine (x) - value of local - minimum

The (x) - value at which (g) has a local - minimum is the (x) - coordinate of the local - minimum point. So the value of (x) at which (g) has a local - minimum is (-1).

Answer:

All local minimum values of (g): (-4) All values at which (g) has a local minimum: (-1)