Question

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

Explanation:

Step1: Recall local - minimum concept

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

Step2: Analyze the graph

By observing the graph, we look for the interval where the function reaches a trough. We can see that the function has a local minimum in the interval $[-3,-1]$. In this interval, the function value is lower compared to the values in its adjacent intervals.

Answer:

$[-3,-1]$