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

Local minimum occurs where the function changes from decreasing to increasing. On the graph, we look for the "valleys".

Step2: Determine local - minimum values

The local - minimum value is the $y$ - coordinate of the local - minimum point. From the graph, the local - minimum value of $y = f(x)$ is $y=-4$.

Step3: Determine $x$ - values of local minima

The $x$ - value at which the local minimum occurs is $x = 1$.

Answer:

All local minimum values of $f$: $-4$ All values at which $f$ has a local minimum: $1$