AP Review Questions

Chapters 1 – 4

Complete the analogy.Clark Kent : Superman :: Bruce Wayne :

10

0%

0%

0%

0%

1. Hulk

2. Batman

3. Spiderman

4. Wolverine

1 2 3 4

• 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.

If x2 + xy = 10, then when x = 2, dx

dy

0%

0%

0%

0%

0%

10

1. -7/2

2. -2

3. 2/7

4. 3/2

5. 7/2

1 2 3 4

0%

0%

0%

0%

0%

2 x 2

ln for 0 x 2 ( ) , then lim ( ) is

x ln 2 for 2 x 4

xf x f x

If

1. ln 2

2. ln 8

3. ln 16

4. 4

5. nonexistent

10

1 2 3 4

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

?1

2)(

2

x

xxf

0%0%0%0%0%

-2 1/6 ½ 2 6

1. -2

2. 1/6

3. ½

4. 2

5. 6

Answer Now

1 2 3 4

A particle moves along the x- axis so that its position at time t is given by x(t)=t2-6t+5. For what value of t is the velocity of the particle zero?

0%0%0%0%0%

1 2 3 4 5

1. 1

2. 2

3. 3

4. 4

5. 5

1 2 3 4

If f(x)=sin(e-x), then f’(x) =

0%

0%

0%

0%

0%

10

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)

1 2 3 4

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

y =

2x

+ 1

y =

x +

1

y =

x

y =

x –

1 y

= 0

0% 0% 0%0%0%

1. y = 2x + 1

2. y = x + 1

3. y = x

4. y = x – 1

5. y = 0

:15

1 2 3 4

If f”(x) = x(x+1)(x-2)2, then the graph of f has inflection points when x =

0%

0%

0%

0%

0% 1. -1 only

2. 2 only

3. -1 and 0 only

4. -1 and 2 only

5. -1, 0 and 2 only

10Seconds

Remaining

1 2 3 4

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

2ek

ty 2

ekt

ekt

+ 3

kty

+ 5

.5ky

2 +

.5

0% 0% 0%0%0%

dt

dy

1. 2ekty

2. 2ekt

3. ekt + 3

4. kty + 5

5. .5ky2 + .5

Answer Now

1 2 3 4

The function f is given by f(x)=x4+x2-2.On which of the following intervals is f increasing?

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0%

0%

0%

0%

1. (-.707, ∞)

2. (-.707, .707)

3. (0, ∞)

4. (-∞,0)

5. (-∞,-.707)

1515

1 2 3 4

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

0%0%0%0%0%

3 2 3 4 4 3 8

6'

f

1. 3

2. 2 3

3. 4

4. 4 3

5. 8

10

1 2 3 4