1. (01.08 MC) Which of the following is continuous on the interval (-3, co )? (10 points) Of( x ) = * x - 3 - J x - 2 if x 3 Of( x ) = 9-x 3 - VX O f( x ) = Vx+3 2. (01.04 HC) The function f is defined by f(x) = - 1- 1 Simplify lim f(x) using limit theorems. (10 points) X X-+0 O lim x K-1 lim (1- X-+0 O lim (1-x) x-+0 O lim x2 X-0 lim (x - 1) X-0 O lim ( x - X-+03. (01.09 MC) If the function j is represented by j(x) _ 2X -3 then which of the following statements is true? (10 points) 5x +2 lim j(x) = -0o lim j(x) =-0o and X - 2+ O lim j(x) =-00 lim j(x) =00 and X -+ X-+ 2 F O lim j(x) =00 lim j(x) = -0o and X -+ X-+ O lim j(x) = 00 lim j(x) = 00 and X - 4. (01.02 LC) For the function y(t) =- t-1 72 - 1 as t approaches 2, y(t) approaches -. Which of the following applies? (10 points) O y 4 = 2 O lim y (t ) = 1 1 2 O y ( 2) = = O lim y(t) = 25. (01.03 MC) The table shown gives selected values of x for the function h. X 2 2.9 2.99 2.999 3 3.001 3.01 3.1 4 h(x) -4010 -4001 -4000.5 -4000.01 100 4000.01 4000.5 4001 4010 Which of the following statements is true, based on the information in the table? (10 points) O lim h(x) =15 X-+3 O lim h(x) =3 X-+3 O lim h(x) = -4,000 and lim h(x) = 4,000 X-3 X-+3+ O lim h(x) = 4,000 and lim h(x) =-4,000 x-3 x->3+ 6. (01.08 MC) Let f be defined as f(x) = x2 -4x+3 Which of the following is a true statement about fat x = -3? (10 points) x+3 Of is continuous at x = -3. Of has a jump discontinuity at x = -3. Of has a removable discontinuity at x = -3. Of has an infinite discontinuity at x = -3.7. (01.04 MC) -x2 -3 if x0. 2 if x = 0 x-+0+ The value of lim f(x) is (10 points) O - 2 0 does not exist O 2 8. (01.10 MC) The table shows selected values of t for the continuous function f(t). -2 -1 0 f(t) -11 3 -4 7 In the interval [-2, 1], what is the fewest possible number of zeros of f? (10 points) Three One Zero O Two9. (01.07 MC) Let g(x)=aos\";, and h (x) = 3X4 + x3 30x2 + 1. If fis a function such that h(x) 5 f(x) 5 g(x) for 3