wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

GET A 5 Test Prep (Calc AB)

Total questions: 55

Worksheet time: 2hrs 53mins

Name
Class
Date
1.
Find dy/dx.
a)
A
b)
B
c)
C
d)
D
2.
Find dy/dx.
a)
A
b)
B
c)
C
d)
D
3.
Find dy/dx.
a)
A
b)
B
c)
C
d)
D
4.
If the position function for a particle is s(t) = -t2 - t, what is the instantaneous velocity function for the particle? 
a)
v(t) = -2
b)
v(t) -2t - 1 
c)
v(t) = t3
d)
v(t) = -t
5.
If the position of a particle is represented by s(t) = -t2 + 1, what is its instantaneous velocity at t = 1?  
a)
Velocity = 0
b)
Velocity = 1
c)
Velocity = -1
d)
Velocity = -2
6.
Total distance divided by total time is
a)
average speed
b)
constant speed
c)
instantaneous speed
d)
acceleration
7.
An objects distance from its starting point at time t is given by the equation
s(t) = t3 - 6t2  - 4. 
What is the speed of the object when its acceleration is 0? 
a)
12
b)
-24
c)
-12
d)
24
8.
a)
position
b)
acceleration
c)
total distance
d)
speed
9.
a)
position
b)
velocity
c)
acceleration
d)
total distance
10.
Name the discontinuity at x=2. 
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
11.
Name the discontinuity at x=2. 
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
12.
Name the discontinuity at x=2. 
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
13.
Name the discontinuity at x=2. 
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
14.
Name the discontinuity at x=2. 
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
15.
Name the discontinuity at x=2. 
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
16.
Name the discontinuity at x=2. 
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
17.
Name the discontinuity at x=2. ∞
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
18.
Name the discontinuity at x=2. 
a)
Infinite Discontinuity
b)
Removable Discontinuity
c)
Jump Discontinuity
d)
Continuous at x=2
19.
Give the interval of continuity for the graph provided.
a)
(-∞, -1)U(-1,1)U(1, ∞)
b)
(-∞, -1)U[-1,1)U(1, ∞)
c)
(-∞, -1)U[-1,1)U[1, ∞)
d)
(-∞, -1]U[-1,1]U[1, ∞)
20.
Give the interval of continuity for the graph provided.
a)
(-∞, 2)U(2,6]
b)
(-∞, 2]U(2,6]
c)
(-∞, 2)U[2,6]
d)
(-∞, 2)U(2,6)
21.
Give the interval of continuity for the graph provided.
a)
(-∞,2)U(2,∞)
b)
(-∞,2]U(2,∞)
c)
(-∞,2)U[2,∞)
d)
[-∞,2)U(2,∞]
22.
Give the interval of continuity for the graph provided.
a)
(-∞,0)U(0,2)U(3,∞)
b)
(-∞,0)U(0,2]U(3,∞)
c)
(-∞,2)U(3,∞)
d)
(-∞,0)U(0,2)U[3,∞)
23.

Find the limit as x approaches 1+

a)

1

b)

-1

c)

-3

d)

Infinity

e)

DNE

24.

Find the limit as x approaches 1

a)

1

b)

-1

c)

-3

d)

Infinity

e)

DNE

25.

lim⁡y→−2y2+5y+6y+2=...\lim_{y\rightarrow-2}\frac{y^2+5y+6}{y+2}=...  

a)

1

b)

-1

c)

9

d)

-9

26.

Find

a)

0

b)

1/ln(5)

c)

1

d)

ln(5)

27.

1

a)

-infinity

b)

-1

c)

0

d)

1

e)

infinity

28.
a)
0
b)
5/3
c)
e5x
d)
DNE
29.

Find the limit as x approaches 1+

a)

1

b)

-1

c)

-3

d)

Infinity

e)

DNE

30.

Find the value for that makes f(x) continuous.

a)

0

b)

1

c)

1.5

d)

2

e)

No such value exists

31.
What is the limit?
a)
DNE
b)
2/3
c)
1/4
d)
Infinity
32.
If a function has a derivative that is negative, what does that tell you?
a)
The function is increasing
b)
The function is decreasing
c)
The concavity of the function is up
d)
The concavity of the function is down
33.
a)
Mean value theorem
b)
Instantaneous Rate of Change
c)
Intermediate Value Theorem
d)
Fundamental Theorem of Calculus
34.

Let f be the function defined by f(x)=4x3-10x+5. Find the equation of the tangent line to the graph of f at the point where x = 1

a)

y+1=2(x-1)

b)

y-1=2(x-1)

c)

y+1=2(x+1)

d)

y+1=-2(x-1)

35.

If g is the inverse function of F and f(2)=3, find the value of g'(3) for F(x)=6x2+2x-1

a)

1/24

b)

1/25

c)

1/26

d)

26

36.

what is the average rate of change of the function f(x)=x2-6x+6 from 2 to 6?

a)

4

b)

2

c)

3

d)

23/4

37.

A particle moves along the x-axis with velocity at time x>0 and the function is v(x)=x2+6x+3, is the speed of the particle increasing at x=4?

a)

No because both velocity and acceleration at x=4 is positive

b)

Yes because both velocity and acceleration at x=4 is positive

c)

No because both velocity and acceleration at x=4 is negative

d)

Yes because both velocity and acceleration at x=5 is positive

38.

What is the derivative of the function   f(x)=∫12x  6ex dxf\left(x\right)=\int_1^{2x}\ \ 6e^x\ dx  

a)

6e2x

b)

12e2x

c)

6e2x-6ex

d)

6e2x

39.
a)
Average Rate of Change
b)
Average Value of f
c)
Intermediate Value Theorem
d)
Rolle's Theorem
40.
a)
f(a) - f(b)
b)
f(b) - f(a)
c)
f '(b) - f '(a)
d)
f '(a) - f '(b)
41.
a)
position 
b)
velocity
c)
acceleration
d)
total distance
42.
a)
A
b)
B
c)
C
d)
D
43.
a)

A

b)

B

c)

C

d)

D

e)

E

44.
a)
sinx
b)
-sinx
c)
-cscx cotx
d)
sec2x
45.

The image displays the ______

a)

Limit definition of the first derivative

b)

The bane of my existance

46.

Which of the following does not apply to being a critical value if f is to be defined at x=c?

a)

f '(c)=0

b)

f'(c)=x

c)

f'(c)=1

d)

f'(c) does not exist

47.
What is the limit?
a)
Infinity
b)
20
c)
DNE
d)
12
48.

when is the function f(x)=x2+6x+9 increasing?

a)

(3,∞)

b)

(-∞,3)

c)

(-3,-∞)

d)

(-3,∞)

49.

What is the speed of the position function f(x)=-3x2-6x-6 at x=2

a)

-18

b)

18

c)

-6

d)

6

50.

What are the conditions that satisfy the mean value theorem, and what does it mean?

a)

Continuous on the open and differentiable on the closed, and then there is at least 2 numbers c and d in the interval (a,b) (that is a < c < b) such that

b)

Discontinuous on the closed and differentiable on the open, then there is at least one number c in the interval (a,b) (that is a < c < b) such that f'(c)=(f(b)- f(a))/ (b-a)

c)

Continuous on the closed and differentiable on the open,and then there is at least one number c in the interval (a,b) (that is a < c < b) such that f'(c)=(f(b)- f(a))/ (b-a)

d)

Continuous on the open and differentiable on the open, and then there is no number c in the interval (a,b) (that is a < c < b) such that f'(c)=(f(b)- f(a))/ (b-a)

51.
a)

The tempereature of the room, in degrees Celsius at 6:00 A.M

b)

The average temperature of the room, in degrees Celsius, at 6:00 A.M.

c)

The change in the temperature of the room, in degrees Celsius, between midnight and 6:00 A.M.

d)

The rate at which the temperature in the room is changing, in degrees Celsius per hour, at 6:00 A.M.

52.
a)
b)
c)
d)
53.

Let f be the function with derivative given by f'(x)-sin(x2 - 3), at what values of x in the interval - 3 < x < 3 does f have a relative maximum?

a)

-1.732 and 2.478 only

b)

-2.478 and 1.732 only

c)

-2.183. 0, and 2.138

d)

-2.478, - 1.732, 1.732 and 2.478

54.

People are entering a building at a rate modeled by f(t) people per hour and exiting the building at a rate modeled by g(t) people per hour, where t is measured in hours. The functions f and g are nonnegative and differentiable for all times t. Which of the following inequalities indicates that the rate of change of the number of people in the building is increasing at time t?

a)

f(t) > 0

b)

f'(t) > 0

c)

f(t) - g(t) > 0

d)

f'(t) - g'(t) > 0

55.

What are the vertical asymptotes of the function f(x)=(x2-9)/(x2+6x+9)

a)

x=3

b)

x=-3

c)

x=3,-3

d)

no vertical asymptote

Similar Resources on Wayground

special QUIZ

50 questions

special QUIZ

quiz

Worksheet

•

12th Grade

MATH 10 SUMMATIVE (Q4)

50 questions

MATH 10 SUMMATIVE (Q4)

quiz

Worksheet

•

10th Grade

Babak Penyisihan Tahap I

50 questions

Babak Penyisihan Tahap I

quiz

Worksheet

•

10th - 12th Grade

SECOND QUARTER TEST PART 2 - MATHEMATICS 10

50 questions

SECOND QUARTER TEST PART 2 - MATHEMATICS 10

quiz

Worksheet

•

10th Grade

11y2 Curriculum Check

54 questions

11y2 Curriculum Check

quiz

Worksheet

•

11th Grade

Midterm Exam in Statistics and Probability (Feb 22, 2021)

50 questions

Midterm Exam in Statistics and Probability (Feb 22, 2021)

quiz

Worksheet

•

11th Grade

12 : QUIZ : STRAIGHT LINES: 10 JAN

50 questions

12 : QUIZ : STRAIGHT LINES: 10 JAN

quiz

Worksheet

•

12th Grade