for the graph of a function y = f(x) shown to the right, find the absolute maximum and the absolute minimum…

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

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

Answer

Explanation:

Step1: Observe the graph

The graph has a highest - point and a lowest - point within the visible domain.

Step2: Identify the absolute maximum

The highest point on the graph is at the point $(2,5)$. So the absolute maximum of $y = f(x)$ is $f(2)=5$.

Step3: Identify the absolute minimum

The lowest point on the graph is at the point $(0,0)$. So the absolute minimum of $y = f(x)$ is $f(0)=0$.

Answer:

A. The absolute maximum of $y = f(x)$ is $f(2)=5$; The absolute minimum of $y = f(x)$ is $f(0)=0$