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

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

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

Answer

Explanation:

Step1: Identify local - minimum points

A local minimum is a point where the function value is less than the values at nearby points. On the graph, we look for the "valleys".

Step2: Determine the function values at local - minimum points

The local - minimum value is the $y$ - coordinate of the local - minimum point.

Step3: Determine the $x$ - values at local - minimum points

The $x$ - value at a local - minimum point is the $x$ - coordinate of that point.

From the graph, the local - minimum point is approximately $(1,-3)$.

Answer:

All local minimum values of $f$: $- 3$ All values at which $f$ has a local minimum: $1$