Question

which interval for the graphed function contains the local minimum?
-1, 1
1, 2
-3, -1
-5, -3

Explanation:

Step1: Recall local - minimum definition

A local minimum is a point where the function value is less than or equal to the values of the function in the immediate neighborhood.

Step2: Analyze the graph

By observing the graph, we can see that the function has a local - minimum in the interval \([-3,-1]\). The function dips down in this interval compared to the values around it.

Answer:

\([-3,-1]\)