1). Use information in the table below to answer questions 3.153 3.149 3.142 _ 3.141 3.137 3.127 Estimate lim f (x) x>2 2. w + x Answer the following questions concerning the graph for g(x) above a) lim g(x) x -> - 2 b) lim g(x) x - of c) lim g(x) x -> 2 d) lim g(x) x -+ 4 e) Determine whether the following points are continuous using the continuity test. X= -2, x =0, X=2, X =4, X=13. Let f(x) be a function who is continuous everywhere. If f(3) =7 and f(9) = -2 then which of the following must be true 1. f(6)=0 Il. There exists at least one number d in (3,9), such that f(d)=0 Ill. There exists at least one number d in (-2, 7) such that f(d)=8 IV. There exists exactly one number d in (3,9), such that f(d)=0 V. The intermediate value theorem does not apply to this situation. The function f is given by f(x) = ", + 12. The figure above shows a portion of the graph of f. Which of the following could be the values of the constants a and b ? (A) a = -3, h = 2 (B) a = 2, b = -3 (C) a = 2, b =-2 (D) a = 3. 5 - -4 (E) a = 3. b = 4 4. h(x) = x2 - 7ifx 3 x - - 1 10 Vx +1 -3 lim *+8 X - - 8\f15. What is the squeeze theorem and why is it useful? tan(x) lim 16. x-0 X cos(X) sin(4 x) lim x-0 3 x 17. 1 - cos(X) lim X+0 2x 18