Review Questions
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| 1. |
Which
of the following sets is not a function? |
| (A) |
{(0, 1,), (0, 2,), (0, 3)} |
| (B) |
{(1, 0), (2, 0), (3, 0)} |
| (C) |
{(1, 1), (2, 2), (3, 3)} |
| (D) |
{(2, 3), (3, 1), (4, 0)} |
| (D) |
{(–1, 5), (0, 4), (1, 5)} |
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| 2. |
Suppose f(s, t)
= 4s2 – 4st + t2,
and f(3, t0)
= 0. What is the value of t0? |
| (A) |
–6 |
| (B) |
0 |
| (C) |
3 |
| (D) |
6 |
| (D) |
12 |
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| 3. |
Suppose f(x)
= 5x. For which of the following functions g(x) is
f/g(x) undefined
at x = {1, 3}? |
| (A) |
g(x) = x2 –
3x –1 |
| (B) |
g(x) = (x +
3)(x + 1) |
| (C) |
g(x) = x2 –
4x + 3 |
| (D) |
g(x) = 3x +
1x |
| (D) |
g(x) = 3x3 + x2 |
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| 4. |
What
is the inverse of the function  ? |
| (A) |
 |
| (B) |
 |
| (C) |
( + 4)2 |
| (D) |
 – 4 |
| (D) |
 |
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| 5. |
What
is the domain of the following function:  |
| (A) |
All real numbers x such that x ≥
–3 |
| (B) |
All real numbers x such that x ≥
–3, x ≠ 0 |
| (C) |
All real numbers x such that x ≥
–3, x ≠ {–2, 4} |
| (D) |
All real numbers x such that x ≥
–3, x ≠ {–2, 0, 4} |
| (D) |
All real numbers x such that –3 ≤ x ≤
4, x ≠ {–2, 0} |
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| 6. |
Suppose
3 <  < 7. What is one possible
value of |x|? |
| (A) |
–2 |
| (B) |
0 |
| (C) |
1 |
| (D) |
2 |
| (D) |
3 |
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| 7. |
Which
of the following graphs is a function? |
| (A) |
 |
| (B) |
 |
| (C) |
 |
| (D) |
 |
| (E) |
 |
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| 8. |
What
is the domain and range of the function pictured below? |
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|
| (A) |
Range: real numbers; domain: x ≤ 4 |
| (B) |
Range: y ≤ 4; domain: x ≤
4 |
| (C) |
Range: y ≠ 0; domain: real numbers |
| (D) |
Range: y ≤ 4; domain: x >
0 |
| (D) |
Range: y ≤ 4; domain: real numbers such
that x ≠ 0 |
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| 9. |
The
graph of the function f(x) = x2(x –
4)(x + 3)2(x +
7) has how many x-intercepts? |
| (A) |
1 |
| (B) |
3 |
| (C) |
4 |
| (D) |
5 |
| (D) |
6 |
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| 10. |
If u =
(2, y) and v = (x,
–4), for what (x, y) does 2u +
3v = (10, –12)? |
| (A) |
(–2, 4) |
| (B) |
(6, 0) |
| (C) |
(6, 12) |
| (D) |
(2, 0) |
| (D) |
(4,  ) |
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