Consider a function f(x) with the following properties . f(x) is defined and continu- . f'(x) > 0 on the interval ous everywhere EXCEPT at (1, 5). x = -3. . f has a vertical asymptote at . f'(x) 0 on the intervals . lim f(x) = -4 (-3, 5) and (5, 00). I-+00 . f(x) is continuous but NOT . f"(x)