Question

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

Explanation:

Step1: Recall local - maximum definition

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

Step2: Analyze the graph

By observing the graph, we see that the function is increasing before \(x = 2\) and decreasing after \(x = 2\). The local - maximum occurs around \(x = 2\).

Answer:

B. \([1,2]\)