here is a graph of the function f.\nuse the graph to find the following.\nif there is more than one answer…

here is a graph of the function f.\nuse the graph to find the following.\nif there is more than one answer, separate the with commas.\nall values at which f has a local minimum:\nall local minimum values of f:

here is a graph of the function f.\nuse the graph to find the following.\nif there is more than one answer, separate the with commas.\nall values at which f has a local minimum:\nall local minimum values of f:

Answer

Explanation:

Step1: Recall the definition of local minimum

A local minimum of a function (y = f(x)) is a point where the function changes from decreasing to increasing. On a graph, it is a "valley" point.

Step2: Identify the (y -) values of local minima

Looking at the graph:

  • For the upper - part of the graph (the non - lower - most curve), the (y -) value of the local minimum is (-1).
  • For the lower - part of the graph (the lower - most curve), assume the (y -) value of the local minimum (by observing the grid, if each grid square has a side - length of (1)) is (-3).

Answer:

(-3,-1)