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: Understand local - minimum concept

A local minimum of a function is a point where the function value is less than or equal to the values of the function in a small interval around that point.

Step2: Identify local - minimum values from the graph

Looking at the graph, the function (y = f(x)) has local minimum values at the lowest points of its "valleys". The (y) - values of these points are the local minimum values. We can see that the local minimum values of (f) occur at (y=-1).

Step3: Identify (x) - values of local - minimum points

The (x) - values at which the function has a local minimum are the (x) - coordinates of the local - minimum points. From the graph, the function (y = f(x)) has local minima at (x = 0) and (x=3).

Answer:

All local minimum values of (f): (-1) All values at which (f) has a local minimum: (0,3)