(6) Sketch a graph of a function, f, that has the following properties:

f'>0 and f"> 0 on (-∞0,-5)

• lim_ f(x) = ∞

24-5

• f' <0 and f"> 0 on (-5,0) and (5,00)

f is continuous at x = 0

f is NOT differentiable at z = 0

f(0) = 5

f has a limit that exists at x = 5 but is

not continuous at x = 5

• lim f(x) = 3 and_lim_ f(x) = 3

2-00

2418/n-10

-5

y

10

-5-

0

-5-

-10-

5

10

x