1. (01.07 MC) sin x Let k(x) be a piecewise defined function so that k(x) = X if x #0 The function h(x) is given by the graph below. Which of the following equals lim )-(x)? (1 point) 0 X-+0 K (x) if x = 0 4 3 h (x ) 2 -1 -2 -33 -2 -1 2 3 4 5 Oo 2 ODNE 15. (01.07 HC) Let f, g, and h be functions defined as f(x) = xsin -2 , g(x) =x2 sin-, and h(x) = . Which of the following inequalities can be used with the Squeeze Theorem to find the limit of the function as xapproaches 0? (1 point) I. -x Sf(x) s/x | II. -x2 s g(x) 5 x2 III. -x S h(x) sx II and III I and II I, II, and III I and III1. (01.08 MC) Consider the function f(x) = x" -9 Which of the following is true about f(x)? (1 point) x- 3 Of(x) has an infinite discontinuity at x = 3 due to a vertical asymptote. Of(x) is continuous at x = 3 because lim f(x) exists. Of(x) has a jump discontinuity at x = 3 because lim f(x) does not exist. f(x) has a removable discontinuity at x = 3 because f(3) is not defined. 2. (01.08 MC) For which interval is the function f(x) = xv4_x2 continuous? (1 point) O [-2, 2] O [-4, 4] O (-oo, - 4] and [4, 00) O (-oo, - 2] and [ 2, 00) 3. (01.08 HC) Find values for c and d that make h(x) continuous. (1 point) 2x if x 2 O c = d = 0 O c = 2 and d = 0 c= 10 and d = -8 O c = 8 and d = 10