Question

which interval for the graphed function contains the local maximum?
o -1, 0
o -1, 2
o (2, 3
o 3, 4

Explanation:

Step1: Understand the concept of local maximum

A local maximum of a function is a point where the function changes from increasing to decreasing.

Step2: Analyze the graph

Looking at the graph, we can observe the behavior of the function in different intervals.
In the interval \([-1,0]\), we check the slope of the function. Before a local maximum, the function is increasing (positive slope) and after it is decreasing (negative slope).
In the interval \([-1,0]\), we can see that the function has a point where it changes from increasing to decreasing.

Answer:

\([-1,0]\)