The interval of the function that contains the local maximum is given by:
[0, 2].
<h3>What is the question?</h3>
The graph of the function that we want to analyze the behavior is missing. It states that:
- The function is decreasing from negative infinity to x = -0.8.
- Then the function increases from x = -0.8 to x = 1.55.
- After that, the function decreases until infinity.
<h3>What is a local maximum in a function f(x)?</h3>
A local maximum in a function f(x) is a value of x at which the function changes from increasing to decreasing.
Researching this problem on the internet, and looking at the graph, the function changes from increasing to decreasing at point x = 1.55, hence the interval that contains the local maximum of the function is:
[0, 2].
More can be learned about local maximums at brainly.com/question/13333267
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