1. f is continuous for a ≤ x ≤ b but not differentiable for some c such that a < c < b. Which of the following could be true? (A) x = c is a vertical asymptote of the graph of f. (D) f(c) is undefined. (B) lim f(x) + f(c) x-c (C) The graph of f has a cusp at x = c. (E) None of the above

B The graph of a function f with f (b) > f (a) is shown above for a ≤ x ≤ b. The derivative of f exists for all x in the interval a < x < b except x = 0. For how many values of c, for a < c < b, does lim f(x)-f(c) f(b)-f(a) x-c b-a X-C Zero Two Three (a, f(a)) Four = (b, f(b)) ? V

2. Let f(x) = 24. Sketch the graph of f(x) on the graph below. Then use the graph to find the following limits. a. lim x-2- b. lim I I (2²-4) x→2+ x 2 x² 4 c. lim x→2 x - 2 d. Discuss the continuity of f(x) at x = 2.

Which statement is true?