Respuesta :

The interval of the function that contains the local maximum is given by:

[0, 2].

What is the question?

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.

What is a local maximum in a function f(x)?

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 https://brainly.com/question/13333267

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Answer:

(C) [0, 2]

Step-by-step explanation:

On Edgen 2022