Question

the function f is defined on the interval -4,4 and its graph is given below. (you can click on a graph to enlarge it.) (for all of the following, enter your answers as a comma - separated list, or enter dne for \does not exist\ if there are none.) a. find the value(s) of x where f has a relative minimum.

Explanation:

Step1: Recall relative - minimum definition

A relative minimum of a function \(y = f(x)\) occurs at a point \(x = c\) if \(f(c)\) is less than or equal to \(f(x)\) for all \(x\) in some open interval containing \(c\).

Step2: Examine the graph

Looking at the graph of \(y = f(x)\) on the interval \([-4,4]\), we search for the points where the function changes from decreasing to increasing.

Step3: Identify the relative - minimum points

By observing the graph, we see that there are no such points where the function changes from decreasing to increasing.

Answer:

DNE