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 maxima

Local maxima are points where the function changes from increasing to decreasing.

Step2: Analyze the graph

From the graph, we see the function increases to the point $(1,4)$ and then decreases, and also increases to the point $(4,5)$ and then decreases.

Answer:

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