ap calculus multiple choice questions - chapter 1 calculus multiple choice questions - chapter 1 1...

AP Calculus Multiple Choice Questions - Chapter 11 Which of the following is an equation of the line through (-3, 4) with slope 1/2?a y - 4 = 0.5(x + 3) b y + 3 = 0.5(x - 4)

c y - 4 = -2(x + 3) d y - 4 = 2(x + 3)

e y + 3 = 2(x - 4)

2 Which of the following is an equation of the vertical line through (-2, 4)?a y = 4 b x = 2

c y = -4 d x = 0

e x = -2

3 Which of the following is an equation of the line through (-2, -1) parallel to the line y = -3x + 1?a y = -3x + 5 b y = -3x - 7

c y = 0.33x - 0.33 d y = -3x + 1

e y = -3x - 4

1.1

1.1

1.1

Updated July 3, 2015 Boyceville High School, Mr. Hamm of 15

AP Calculus Multiple Choice Questions - Chapter 1

1 Which of the following is the domain of

a x ≠ ± 3 b (-3, 3)

c [-3, 3] d (-∞, -3) U (3, ∞)

e (3, ∞)

2 Which of the following is the range of

a (-∞, 1) U (1, ∞) b x ≠ 1

c All Real Numbers d (-∞, 0) U (0, ∞)

e x ≠ 0

3 Which of the following is the domain of

a (-∞, 1) U (1, ∞) b x ≠ 1

c All Real Numbers d (-∞, 0) U (0, ∞)

e x ≠ 0

1.2a

1.2a

1.2a

29)(

x

xxf

1

11)(

xxf

1

11)(

xxf



1 Determine whether the following function is even, odd, or neithera Even b Odd

c Neither d Can't Be Determined





1.2b

1.2b

1.2b

2)( xxxf

3)( xxxf

1

1)(

2

xxf



1 Determine the domain of the following piecewise-defined functionx ≤ 1

1 < x

a [-1, 1] b [-1, 1)

c (-1, 1) d (-1, 1]

e (-∞,∞)

2 Determine the range of the following piecewise-defined functionx ≤ 1

1 < x

a [-1, 1] b [-1, 1)

c (-1, 1) d (-1, 1]

e (-∞,∞)

3 Determine the range of the following piecewise-defined function-1 < x ≤ 0

0 < x ≤ 2

a (-3,3] b [-3,3)

c [-3,3] d (-3,3)

e (-∞,∞)

1.2c

1.2c

1.2c

x

xxf

2

3)(

x

xxf

2

3)(

32

33)(

x

xxf



1 If f(x) = 2x - 1 and g(x) = x + 3, which of the following gives f(g(2))?a 2 b 6

c 7 d 9

e 10

2 If f(x) = x + 2 and g(x) = x2, what is g(f(3))?

a 11 b 10

c 13 d 50

e 25

3 If f(x) = 2x - 4 and g(x) = x / 2, what is f(g(x))?a x - 2 b x - 4

c x + 2 d x + 4

e x

1.2d

1.2d

1.2d



1 Find the domain of the following functiona (-∞, 3) b (-2, ∞)

c (-∞, -2) d All real numbers

2 Find the range of the following functiona (-∞, 3) b (-2, ∞)


3 Find the range of the following functiona (-∞, 3) b (-2, ∞)


1.3a

1.3a

1.3a

32 xy

32 xy

23 xey



1 Which of the following gives the best approximation for the zero of f(x) = 4 - ex?

a x = -1.386 b x = 0.386

c x = 1.386 d x = 3

e There are no zeroes

2 Which of the following gives the best approximation for the zero of f(x) = e-x

- 2?a x = -0.693 b x = 0.693

c x = -0.482 d x = 0.482

e There are no zeroes

3 Which of the following are equivalent to the following: 273x

a 34xb 36x

c 35xd 39x

e None are equivalent

1.3b

1.3b

1.3b



1 Which of the following is a cartesian equation for the provided parameterization curve?x = 3t y = 9t

2I = All Real Numbers

a y = 2x b y = 3x2

c y = x2

d y = 3x

2 Which of the following is a cartesian equation for the provided parameterization curve?x = cos (t) y = sin (t) 0 ≤ t ≤ π

a x2 + y2 = 4 b x2 + y2 = 1

c x2 + y

2 = 0 d x

2 = y

2

3 Which of the following is a cartesian equation for the provided parameterization curve?x = 2t - 5 y = 4t - 7 I = All Real Numbers

a y = 2x + 3 b y = 2x - 3

c y = 3x - 2 d y = 3x + 2

1.4

1.4

1.4



1 Which of the following is the inverse of f(x) = 3x - 2?a b

c d

e

2 Which of the following is the inverse of f(x) = 1 / x?a g(x) = x b g(x) = 1 + x

c g(x) = 1 / x d g(x) = 1 - x

e g(x) = 0.1x

3 What is the composite of a function with its inverse?a 1 b 10x

c 100 d x

e 0

1.5a

1.5a

1.5a

23

1)(

xxg xxg )(

23)( xxg

3

2)(

xxg

3

2)(

xxg



1 Which of the following is a solution of the equation 2 - 3-x

= -1?a x = -2 b x = -1

c x = 0 d x = 1

e There are no solutions

2 Solve the following equation algebraically (1.045)t = 2

a 10.21 b 15.75

c 13.98 d 18.88


3 Solve the following equation algebraically e0.05t = 3a 10.22 b 18.42

c 21.97 d 24.99


1.5b

1.5b

1.5b



1 Determine the domain of the following functiona (3, ∞) b (-∞, 2)

c (-∞, 3) d All real numbers

2 Determine the range of the following functiona (3, ∞) b (-∞, 2)


3 Determine the domain of the following functiona (-2, ∞) b (-∞, 2)


1.5c

1.5c

1.5c

4)3ln(2)( xxf

4)3ln(2)( xxf

1)2log(3)( xxf



1 Evaluate sin(90°) exactlya b

c d 1

e 0

2 Evaluate exactly

a b -

c d -

e 0

3 Evaluate exactly

a b -

c d -

e 1

1.6a

1.6a

1.6a

22

23

23

6

5cos

23

23

22

22

3tan

23

23

33

33



1 Determine if the following function is even, odd, or neither: f(x) = tan(x)a Even b Odd

c Neither d Cannot be Determined

2 Determine if the following function is even, odd, or neither: f(x) = sec(x)a Even b Odd


3 Determine if the following function is even, odd, or neither: f(x) = cot(x)a Even b Odd


1.6b

1.6b

1.6b



1 Determine the amplitude of the following trigonometric function: f(x) = 2 sin (2x)a 2 b 1/2

c 1 d 4

2 Determine the period of the following trigonometric function: f(x) = 2 sin (2x)a π b 2π

c π/2 d 4π

3 Determine the period of the following trigonometric function: f(x) = 4 cos (4x)a π b 2π

c π/2 d 4π

1.6c

1.6c

1.6c



1 Solve the equation in the specified interval tan x = 2.5 0 < x < 2πa -1.190, 1.190 b 1.190, 4.332

c -4.332, 4.332 d 1.190, 2.761

2 Solve the equation in the specified interval 2π < x < 4πa 2.34, 5.49 b 9.211, 10.220

c 5.49, 8.629 d 8.629, 10.220

3 Solve the equation in the specified interval sec x = -3 -π < x < πa -1.911, 1.911 b -1.232, 1.232

c -0.544, 0.544 d -0.977, 0.977

cos x = -0.71.6d

1.6d

1.6d


ap calculus multiple choice questions - chapter 1 calculus multiple choice questions - chapter 1 1...

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