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. the local maxima of y = f(x) are f( ) = and 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. the local maxima of y = f(x) are f( ) = and f( ) = . (type integers or simplified fractions.) c. there is no local maximum for y = f(x).

Answer

Explanation:

Step1: Understand local maximum

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 at nearby points.

Step2: Analyze the graph

From the graph of (y = f(x)) with points ((1,4)), ((2,1)), ((4,5)) and ((6,4)), we can see that the function has two local - maximum points. At (x = 1), (y=f(1)=4) and at (x = 4), (y = f(4)=5).

Answer:

B. The local maxima of (y = f(x)) are (f(1)=4) and (f(4)=5)