use the graph of a function y = f(x) to find the absolute maximum and the absolute minimum, if they exist…

use the graph of a function y = f(x) to find the absolute maximum and the absolute minimum, if they exist. identify any local maximum values or local minimum values. select the correct answer and, if necessary, fill in the answer boxes to complete your choice. a. the local maximum of y = f(x) is f( ) = (type integers or simplified fractions.) b. there are two local maxima. the leftmost maximum is f( ) = the rightmost maximum is f( ) = (type integers or simplified fractions.) c. there is no local maximum for y = f(x)

use the graph of a function y = f(x) to find the absolute maximum and the absolute minimum, if they exist. identify any local maximum values or local minimum values. select the correct answer and, if necessary, fill in the answer boxes to complete your choice. a. the local maximum of y = f(x) is f( ) = (type integers or simplified fractions.) b. there are two local maxima. the leftmost maximum is f( ) = the rightmost maximum is f( ) = (type integers or simplified fractions.) c. there is no local maximum for y = f(x)

Answer

Explanation:

Step1: Recall local - maximum definition

A local maximum of a function (y = f(x)) is a point where the function value is greater than or equal to the values of the function in a small open - interval around that point.

Step2: Analyze the graph

Looking at the graph, we can see that the function has a local maximum at the point ((- 2,1)). There are no other points where the function has a local maximum in the given graph.

Answer:

A. The local maximum of (y = f(x)) is (f(-2)=1)