Part A An object dropped on an asteroid falls y = 0.40t feet in the first t seconds. Which of the following best represents the object's average speed during the time interval from 1 s to 4 s ? O A. 1.6 ft/s O B. 2.0 ft/s O C. 2.3 ft/s O D. 3.0 ft/s O E. 3.4 ft/s Part B What is the object's instantaneous speed at t = 4 seconds? O A. 1.6 ft/s O B. 3.2 ft/s O C. 4.8 ft/s O D. 6.4 ft/s O E. 8.0 ft/stan What of the following is NOT a vertical asymptote of the function f (z) = 12 8 +15 O A. 2 O B. 3 O C. 4 O D. 5 O E. 6:2 E= What is a leftend behavior model ofthe function f [33) = '? Verify your result. What value of a will make the following function continuous? 2 f (x) = 6x ta, x >2 O A. -8 O B. -4 O C. O O D. 4 O E. 8For which of the following intervals is the function f (@) = continuous? 14-213-12421 O A. [-2.5, -1.5] O B. [-1.5, -0.5] O C. [-0.5, 0.5] O D. [0.5, 1.5] O E. [1.5, 2.5]Supposed you are given the function f (@) = x - 40 log , and asked to complete the table. X f (x) 0.1 1 10 100 1,000 10,000 Based only on those results, what is the minimum number of values of x where x = 40 log x, based on the Intermediate Value Theorem? O A. 0 O B. 1 O C. 2 O D. 3 O E. 4What is the equation of the line perpendicular to the function f (a) = x + 2x - 2 at the point (1, 1)? O A. y = -4x +5 O B. y= -2x + 3 O C. y = - O D. y = | 09 O E. y = 4x - 3Find the equation of the line tangent to the graph of the function f (x) = 2(x + 1) at the point (-2, 2). Write the equation of the tangent line in slope-intercept form