Question

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: -2, -1 all values at which f has a local minimum:

Explanation:

Step1: Recall local - minimum definition

A local minimum of a function occurs at a point where the function value is less than or equal to the values of the function at nearby points.

Step2: Observe the graph

By looking at the graph of the function \(y = f(x)\), we can identify the \(x\) - values where the function has local minima.

Step3: Identify local - minimum points

The function \(y = f(x)\) has local minima at \(x=-2\) and \(x = 1\).

Answer:

\(-2,1\)