AP Review Questions

1
AP Review Questions

• Chapters 1 4

2
Complete the analogy.Clark Kent Superman
Bruce Wayne

1. Hulk
2. Batman
3. Spiderman
4. Wolverine

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3

• A calculator may not be used on these questions.
• Unless otherwise stated, the domain of a function
  is assumed to be all real numbers x for which
  f(x) is a real number.

4
If x2 xy 10, then when x 2,

1. -7/2
2. -2
3. 2/7
4. 3/2
5. 7/2

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5
If

1. ln 2
2. ln 8
3. ln 16
4. 4
5. nonexistent

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6
What is the instantaneous rate of change at x 2
of the function f given by

1. -2
2. 1/6
3. ½
4. 2
5. 6

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7
A particle moves along the x- axis so that its
position at time t is given by x(t)t2-6t5. For
what value of t is the velocity of the particle
zero?

1. 1
2. 2
3. 3
4. 4
5. 5

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8
If f(x)sin(e-x), then f(x)

1. -cos(e-x)
2. cos(e-x) e-x
3. cos(e-x) - e-x
4. e-x cos(e-x)
5. -e-xcos(e-x)

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9
An equation of the line tangent to the graph of y
x cos x at the point (0,1) is

1. y 2x 1
2. y x 1
3. y x
4. y x 1
5. y 0

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10
If f(x) x(x1)(x-2)2, then the graph of f has
inflection points when x

1. -1 only
2. 2 only
3. -1 and 0 only
4. -1 and 2 only
5. -1, 0 and 2 only

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11
If ky and k is a nonzero constant, y
could be

1. 2ekty
2. 2ekt
3. ekt 3
4. kty 5
5. .5ky2 .5

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12
The function f is given by f(x)x4x2-2.On which
of the following intervals is f increasing?

1. (-.707, 8)
2. (-.707, .707)
3. (0, 8)
4. (-8,0)
5. (-8,-.707)

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13
If f(x) tan(2x), then

1. ?3
2. 2 ?3
3. 4
4. 4 ?3
5. 8

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