1. AP Review Questions
Chapters 1 – 4

2. Complete the analogy. Clark Kent : Superman :: Bruce Wayne :10
Hulk
Batman
Spiderman
Wolverine 1 2 3 4

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,
-7/2 -2
2/7
3/2
7/2 10 1 2 3 4

5. If
ln 2
ln 8
ln 16 4
nonexistent 10 1 2 3 4

6. What is the instantaneous rate of change at x = 2 of the function f given by-2
1/6 2 6
Answer Now 1 2 3 4

7. 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? 1 2 3 4 5 1 2 3 4

8. If f(x)=sin(e-x), then f’(x) =
-cos(e-x)
cos(e-x) + e-x
cos(e-x) - e-x
e-x cos(e-x)
-e-xcos(e-x) 10 1 2 3 4

9. An equation of the line tangent to the graph of y = x + cos x at the point (0,1) is
:15 1 2 3 4

10. If f”(x) = x(x+1)(x-2)2, then the graph of f has inflection points when x =10
Seconds
Remaining
-1 only
2 only
-1 and 0 only
-1 and 2 only
-1, 0 and 2 only 1 2 3 4

11. If = ky and k is a nonzero constant, y could be
Answer Now
2ekty
2ekt
ekt + 3
kty + 5
.5ky2 + .5 1 2 3 4

12. The function f is given by f(x)=x4+x2-2
The function f is given by f(x)=x4+x2-2. On which of the following intervals is f increasing?
(-.707, ∞)
(-.707, .707)
(0, ∞)
(-∞,0)
(-∞,-.707) 15 1 2 3 4

13. If f(x) = tan(2x), then 10 3
2 3 4
4 3 8 1 2 3 4