Question

your answer is incorrect. · all values at which f has a local minimum: your answer is incorrect. · all local minimum values of f: your answer is incorrect. 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 values at which f has a local minimum: all local minimum values of f:

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. On a graph, it is a point where the function changes from decreasing to increasing.

Step2: Identify local - minimum points on the graph

Looking at the given graph of the function \(y = f(x)\), we can see that the function changes from decreasing to increasing at \(x = 0\).

Step3: Determine the local - minimum value

The \(y\) - value of the function at \(x = 0\) is \(y = 1\).

Answer:

All values at which \(f\) has a local minimum: \(0\)
All local minimum values of \(f\): \(1\)