use the graph of the function f given below to answer the questions. is there a local maximum at x = - 1…

use the graph of the function f given below to answer the questions. is there a local maximum at x = - 1? yes no if there is a local maximum at x = - 1, what is it? select the correct choice below and fill in any answer boxes within your choice. a. the local maximum is y = (type an integer.) b. there is no local maximum at x = - 1.

use the graph of the function f given below to answer the questions. is there a local maximum at x = - 1? yes no if there is a local maximum at x = - 1, what is it? select the correct choice below and fill in any answer boxes within your choice. a. the local maximum is y = (type an integer.) b. there is no local maximum at x = - 1.

Answer

Explanation:

Step1: Recall local - maximum definition

A local maximum of a function (y = f(x)) at (x = a) is a point where (f(a)) is greater than or equal to the values of (f(x)) for (x) in some open interval containing (a).

Step2: Observe the graph at (x=-1)

Looking at the graph of the function (y = f(x)), we can see that the function has a peak at (x=-1). In a small open - interval around (x = - 1), the value of the function at (x=-1) is greater than the values of the function for (x) values in that open interval.

Step3: Determine the value of the local maximum

From the graph, when (x=-1), the (y) - value of the function is (y = 2).

Answer:

Is there a local maximum at (x=-1)? Yes If there is a local maximum at (x = - 1), what is it? A. The local maximum is (y = 2)