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Day 1

Day 1. Limits and continuity (no calculator). x + 2 4x 3 - 4x 2 - 24x. Given f(x) = a) Find the horizontal and vertical asymptotes of f(x). b) identify and resolve any removable discontinuities that exist. (A) None (B) I only (C) II only (D) I and II only (E) I,II, and III.

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Day 1

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  1. Day 1 Limits and continuity (no calculator)

  2. x + 2 4x3 - 4x2 - 24x Given f(x) = a) Find the horizontal and vertical asymptotes of f(x). b) identify and resolve any removable discontinuities that exist.

  3. (A) None (B) I only (C) II only (D) I and II only (E) I,II, and III x a x2 - a2 x - a 0, , for x a , Which of the following are true about f? I. lim f(x) exists. II. f(a) exists. III. f(x) is continuous at x = a. Let f be defined as follows, where a  0. f (x) = for x =a .

  4. 3/5 B) 5/3 • 3 D) 5 • E) No limit exists

  5. Which of the following statements is true about the figure? f 4 3 2 1 x -1 1 2 3 4 5 A) B) C) D) E)

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