Questions: Which interval for the graphed function contains the local maximum? [-3,-2] [-2,0] [0,2] [2,4]

Which interval for the graphed function contains the local maximum? [-3,-2] [-2,0] [0,2] [2,4]
Transcript text: Which interval for the graphed function contains the local maximum? $[-3,-2]$ $[-2,0]$ $[0,2]$ $[2,4]$
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Solution

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Solution Steps

Step 1: Identify the local maximum

A local maximum is a point on the graph where the function's value is greater than the values of the function at nearby points. In simpler terms, it's a "peak" on the graph. The given graph has a peak approximately at the point (1.55, 10.8).

Step 2: Determine the interval containing the local maximum

We are given four intervals: [-3,-2], [-2,0], [0,2], and [2,4]. The x-coordinate of the local maximum is approximately 1.55. The interval that contains 1.55 is [0,2].

Final Answer

\(\boxed{[0,2]}\)

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