For the graph of a function y fx shown to the right find th

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. The absolute maximum of y = f(x) is f . (Type integers or simplified fractions.) There is no absolute maximum for y =f(x).

Solution

The correct option is B, there is no absolute maximum for y=f(x) because the graph grows infinitely with vertical asymptote at x=5 (see the blue arrow)

There is two local maxima: f(-1) = 2 and f(2)=6 and one local minumum f(0)=0

Furthermore,there is absolute minimum f(3)=5