Answer to Question #48103 in Calculus for Bob

Question

Sketch one graph of a single function f that satisfies all of the conditions below

a. domain (0, infinity)
b. limit as x -> 0+ f(x) = infinity
c. limit as x-> infinity f(x) = 2
d. f'(x) < 0 on the interval (0,3)
e. f'(x) > 0 on the interval (3, infinity)
f. f'(3) = 0
g. f''(x) > 0 on the interval (0,6)
h. f''(x) < 0 on the interval (6, infinity)