Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values of f.

Question

Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values of f .

f(x) = 2/x , x ≥ 2

Find the absolute maximum value. [Enter your answers as a comma-separated list. i.e. (x,y) If an answer does not exist, enter DNE.]

Answer 1

maximum value of f(x) for x>2 is f(2) = 2/2 = 1 = max

the minimum DNE. there's a limit of f(x) = 0 as x approaches infinity, but f(x) never reaches zero.

the graph is a hyperbola, with two branches, one in quadrant I and one in quadrant III.

for x greater than or equal to 2, the graph is only in quadrant I.