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1. Use your graphing calculator to evaluate lim [1+ x]>x On O 1 O e4 2. Use your calculator to select the best answer below:
1. Use your graphing calculator to evaluate lim [1+ x]>x On O 1 O e4 2. Use your calculator to select the best answer below: lim In(| x [-1) *(cos()* (2 points) O does not exist O 1 O -1\f9. If f is a continuous function with odd symmetry and lim /(x)=-5 , which of the following statements must be true? (2 points) I. lim f(x)=5 II. There are no vertical asymptotes. III. The lines y = 5 and y = -5 are horizontal asymptotes. I only II only O III only All statements are true. 10. What are the horizontal asymptotes of the function f(x)=>x +2 ? (2 points) X O y = 5 only Oy = -5 only O y = -5 and y = 5 Oy = 011. Which one or ones of the following statements is/are true? (2 points) I.If the line y = 2 is a horizontal asymptote of y = f(x), then f is not defined at y = 2. II.If f(1) > 0 and f(3) 1 O 3 O -5 O 1 O does not exist 16. Where is f(x) = x-4 x2 - 9x + 20 discontinuous? (2 points) x = 4 and x = 5 x = 4 O X = 5 Of(x) is continuous everywhere17. Which of the following are not continuous at x = 1?(2 points) I. f(x)=*+5 x-+1 II. g(x) 3 X2 -1 III. h(x) =x-1 I only II only I and II only O I and III only18. Which of the following must be true for the graph of the function f(x)=> > ?(2 points) 3x -9 There is: I.a vertical asymptote at x = 3 II.a removable discontinuity at x = 3 III. an infinite discontinuity at x = 3 I only II only III only I, II, and III 19. What is the average rate of change of y with respect to x over the interval [-3, 5] for the function y = 2x + 2? (2 points) O 16 O O 2 O20. What is the instantaneous slope of y = -= at x = 2? (2 points) O -1 Ni- O NI - 21. The height, s, of a ball thrown straight down with initial speed 32 ft/sec from a cliff 48 feet high is s(t) = -16t - 32t + 48, where t is the time elapsed that the ball is in the air. What is the instantaneous velocity of the ball when it hits the ground? (2 points) 64 ft/sec O 0 ft/sec O 256 ft/sec -64 ft/sec22. The surface area of a right circular cylinder of height 5 feet and radius r feet is given by S(r)=2nrh+2mrs. Find the instantaneous rate of change of the surface area with respect to the radius, r, when r = 6. (2 points) 24n 34n 64n 20n
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