Review Questions
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| 1. |
f(x)
= ax and g(x)
= bx. If fg(x)
= 5x2 + 2, what is ab? |
| (A) |
ab = 5x |
| (B) |
ab = 5x +  |
| (C) |
ab = x2 |
| (D) |
ab = 7x |
| (E) |
Impossible to tell |
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| 2. |
If f(x)
= 2x and g(x)
=  , what is f–1(g–1(2))? |
| (A) |
0 |
| (B) |
 |
| (C) |
1 |
| (D) |
 |
| (E) |
2 |
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| 3. |
If f(x)
= 2x – 3, g(x)
= x + 1, h(x)
= 3x, and g(f(3))
– h(x) = 1, what is x? |
| (A) |
0 |
| (B) |
.5 |
| (C) |
1 |
| (D) |
1.5 |
| (E) |
2 |
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| 4. |
Which
of the following lines are asymptotes of the graph y =
2 ? |
|
I. x = 2
II. y = 2
III. y = 0
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| (A) |
I only |
| (B) |
II only |
| (C) |
I and II only |
| (D) |
I and III only |
| (E) |
I, II, and III |
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| 5. |
A
portion of the graph of y = f(x)
is shown in the figure below. Which of the following could be f(x)? |
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| (A) |
x4 + ax3 + bx2 + cx |
| (B) |
x4 + ax2 + b |
| (C) |
–x4 + ax3 + bx2 + cx + d |
| (D) |
x3 + ax2 + bx + c |
| (E) |
x4 + b2x2 + c2 |
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| 6. |
Suppose f(x)
= –f(–x). Which of the following
could be the graph of y = f(x)? |
| (A) |
|
| (B) |
|
| (C) |
|
| (D) |
|
| (E) |
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| 7. |
What
is the maximum value of the function f(x)
= 10 – 2(x – 3)(x + 3)? |
| (A) |
–28 |
| (B) |
–8 |
| (C) |
0 |
| (D) |
8 |
| (E) |
28 |
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| 8. |
If f:
(x, y) = (x – y, x + y)
for every pair (x, y) in the plane,
for what points (x, y) is it true
that (x, y) = (x, y)? |
| (A) |
(0, 0) only |
| (B) |
The set of points (x, y)
such that x = 0 |
| (C) |
The set of points (x, y)
such that y = 0 |
| (D) |
The set of points (x, y)
such that x = y |
| (E) |
The set of points (x, y)
such that 2x = y |
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