2 1- -3 -2 -1 1 2 3 -1 -2 -3 Part A Given the function f (a) plotted in the graph, which of the following limits has a value of 2? O A. lim f(x) O B. lim f (x) O C. lim f (x) O D. lim f (x) O E. lim f (x)Part B Based on the graph of f (a), what is lim f (a)? O A. O O B. 1 O C. 2 O D. 3 O E. The limit does not exist.Estimate the limit numerically: lim T O A. -2 O B. -1 O C. O O D. 1 O E. 2What is lim 4-16 I-+-2 C+2 O A. -DO O B. -32 O C. O O D. 4 O E. DOWhat is lim " +5x-+5x-27 I-+-2 O A. -3 O B. -2 O C. 2 O D. 3 O E. undefined3r cos x-522 What is the horizontal asymptote of y = ? O A. y= -4 O B. y = -2.5 O C. y=-1 O D. y= 0 O E. There is no horizontal asymptote.3x +r-1 What is lim I-)-00 4x3+1 O A. DO O B. -DO O C. O O D. O E.For what value of a is f (@) continuous? x 3 O A. -2 O B. -1 O C. O O D. 1 O E. 4sin (I-7) For what values of x does the function f (a) = have a removable discontinuity? O A. T = -, T O B. x = -T, 0, T O C. T= T O D. C= -T O E. X = 0sin (I-7) For what values of x does the function f (a) = have a removable discontinuity? O A. T = -T, T O B. *= -T, 0, T O C. T= T O D. C= -T O E. X = 0Part A L lIi' $3+m+2, 3:31 1+ $6.1 Why is the function f (m) = { not differentiable at x = 1? O A. The graph of the function has a cusp at x = 1. O B. The graph of the function has a corner at x = 1. O C. The graph of the function has a hole at x = 1. O D. The graph of the function has a vertical asymptote at .7: > 1. O E. The function is undefined at X = 1. Part B 1+; m1 differentiable for all values of x? O A. a= -2, b=4 O B. a=-1, b=3 O C. a= 1, b=1 O D. a = 2, b=0 O E. a = 3, b=-1Suppose you are given a function f {at} where f{2} = 5 and j\" (2) = 2. What is the equation of the line that is perpendicular to the graph of f (a) at X = 2'? O A. y=2a'.+4 O a. y=%a:+ O c. y=%a:+4 What is the equation of the line tangent to the graph of f (at) = V 1:3 at the point x = 1? What is the slope of the line tangent to the graph of f{1:) = sin2 [3:] at :1: = g? D Am=% O e.m= 2 O C.m=1 O Dm=\\/ Part A The position of an object bobbing up and down on a spring is given by the function s = 3 + $sint, where s is in feet and t is in seconds. What is the velocity of the object in terms of t? O A. v = 3 + > cost inches per second O B. v = 3 - sint inches per second O C. v = - sint inches per second O D. v = - cost inches per second O E. v= > cost inches per second Part B What is the jerk experienced by the object at t = " seconds? O A. _ 3v2 inches per second cubed O B. -> inches per second cubed O C. 3v3 ~ inches per second cubed O D. 3v2 inches per second cubed O E. inches per second cubedThe height of an object launched vertically upward is given by the function h {t} = 200 + 11t 4.932, where h is in meters and t is in seconds. What is the object's approximate speed when it hits the ground?? 0 A. 199.42 meters per second 0 B. 85.48 meters per second 0 C. E3.48 meters per second 0 D. 63.48 meters per second 0 E. 85.48meters persecond