The table shows the distance, in feet, that an object falls during the first 4 seconds after it is dropped from a height of 300 feet. 1 (5) 2 3 4 d (ft.) 0 16 64 144 256 What is the object's average speed during the time interval from 1 s to 3 s? O A. 40 ft./5 O B. 43 ft./5 O C. 48 ft./s O D. 64 ft./s O E. 80 ft./sFaith An object dropped on an asteroid falls 3.! = l].=1l]t2 feet in the rst tsetonds. Which of the following best represents the object's average speed dun'ng the time interval from 1 s to 4 s 1? D A. 1.6 W5 0 B. 21] W5 Cl C. 2.3 W5 0 D. 31] W5 C! E. SAWS FartB What is the object's instantaneous speed at t: 4 seconds? C) A. 1.6W5 CF E5. 3.211% D C. 4.811% D D. SAWS C! E. 8.131\"th What is lim -2_ T-3 If limit notation is needed in your response, use the following example as a guide: lim ( + 2) should be written as lim > > 1 (2 + 2):I:2 e' What is a leftend behavior model of the function f {as} = ? Verify your result. If limit notation is needed in your response, use the following example as a guide: lim (32 + 2) should zrl be written as lim .1: > 1 ($2 + 2). What value of a will make the following function continuous? 2 f (*) = I - 2 6ata, r > 2 O A. -8 O B. -4 O C. O O D. 4 O E. 8How mam}.r points of discontinuity does the function f {z} = tan (32) have in the interval [I], 4]? 0&2 03.3 [Item] have a removable {32+12H33h3} For which of the following intervals does the function f {3) = diSC ntinuity? o A. [25, 1.5] o e. [1.5,o.5] o e. [n.5, [1.5] o o. [o.s,1.5] o E. [15,15] Supposed you are given the function f (@) = = - 40 logo, 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 = 40logo, based on the Intermediate Value Theorem? O A. 0 O B. 1 O C. 2 O D. 3 O E. 4Find the average rate of change of the function f {'3} = 2 sin {'23:} 3 5111(32] ever the interval [H]- D A. _T O a. _% C: ea D [1% What is the equation of the secant line for the function f () = = 12x 6 over the interval [1, 2]? If limit notation is needed in your response, use the following example as a guide: lim (@ + 2) should be written as lim > > 1 (2 + 2)Find the instantaneous rate of change of the function f (@) = 2x - 3x at the point (2, 10). O A. -3 O B. 5 O C. 9 O D. 21 O E. 33What is the slope of the tangent line for the function f (a) = 2x2 - 5x + 1 at the point (1, -2)? O -9 O B. -1 O C. 0 O D. 1 O E. 9What is the equation of the line perpendicular to the function f () = - + 2x - 2 at the point (1, 1)? O A. y= -4x + 5 O B. y= -2x +3 O C. y= - O D. y = O E. y = 4x - 3Find the equation of the line tangent to the graph otthe function f {I} = 2(3: + 1)2 at the point (2, 2). Write the equation of the tangent line in slopeintercept form. If limit notation is needed in 1your response, use the following example as a guide: lim (32 + 2) ShDUId :41 be written as Lin: :3 > 1 ($2 + 2). The height of a ball thrown vertically upward is given by the function h (t) = -16t- + 40t + 6, where h is in feet and t is in seconds. What is the speed of the ball at t = 1 in ft./s? O A. 8 ft./s O B. 24 ft./s O C. 30 ft./5 O D. 48 ft./5 O E. 72 ft./5