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1. |
The domain of a relation is all positive integers less than 4. The range of y or the relation is 2 plus x, where x is a number of the domain. Write the relation as a table of values and as an equation. |
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A. |
 |
B. |
 |
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C. |
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D. |
None of these. |
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Hint |
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2. |
Describe the graph. |
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A. |
relation but not function |
B. |
neither a relation nor a function |
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C. |
relation and function |
D. |
not a relation but a function |
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Hint |
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3. |
Which is a graph of f(x) = |3x| - 1? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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4. |
Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis. |
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A. |
A'(-7, -2), B'(-3, 1),
C'(-1, -4) |
B. |
A'(7, -2), B'(3, 1), C'(1, -4) |
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C. |
A'(7, -2), B'(-1, 3),
C'(-1, -4) |
D. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
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Hint |
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5. |
Find the inverse of  . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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6. |
Determine the symmetry of g(x) =  . |
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A. |
not symmetric |
B. |
symmetric with respect to only the x-axis |
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C. |
symmetric with respect to only the y-axis |
D. |
symmetric with respect to the origin |
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Hint |
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7. |
Solve |x + 4| > 2. |
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A. |
x > -6 or x < -2 |
B. |
x < -6 |
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C. |
x < -6 or x > -2 |
D. |
-6 < x < -2 |
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Hint |
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8. |
Which is the graph of f(x) = |x| - 4 and its inverse? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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9. |
Determine the interval(s) on which the function f(x) = 2|x + 1| + 3 is increasing and the interval(s) on which the function is decreasing. |
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A. |
The function is increasing for x > 3, and the function is
decreasing for x < 3. |
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B. |
The function is decreasing for x > 0, and the function is
increasing for x < 0. |
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C. |
The function is increasing for x > -1, and the function is
decreasing for x < -1. |
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D. |
The function is increasing for x > 2, and the function is
decreasing for x < 2. |
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Hint |
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10. |
If y varies inversely as x and y = 12 when x = 7, find x when y = 2. |
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A. |
5 |
B. |
10 |
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C. |
7 |
D. |
42 |
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Hint |
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11. |
If y varies jointly as the square of x and the cube of z and y = 9 when x = 3 and z = 4, find y when x = 8 and z = 5. |
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A. |
100 |
B. |
45 |
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C. |
125 |
D. |
40 |
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Hint |
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12. |
Suppose y varies directly as x and y = 13 when x = 7. Find the constant of variation and write an equation. |
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A. |
k =  and y = 13 · 7x |
B. |
k = and y = x |
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C. |
k =  and y = x |
D. |
k = and y = 13 · 7x |
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Hint |
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13. |
Determine the asymptotes for the graph of f(x) =  . |
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A. |
a vertical asymptote at x = -3 and a horizontal asymptote at y = 1 |
B. |
a horizontal asymptote at
x = 3 and a vertical asymptote at y = 2 |
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C. |
a vertical asymptote at x = 3 and a horizontal asymptote at y = 2 |
D. |
none of these |
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Hint |
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14. |
Which of the following describes the system of equations x - 3y + 2 = 0 and
2x - 6y + 4 = 0? |
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A. |
Consistent and dependent |
B. |
none of these |
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C. |
Consistent and independent |
D. |
Inconsistent |
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Hint |
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15. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account with 3% interest. He wants no less than $5,000 in the account with 7% interest.Graph this system of inequalities. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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16. |
Given the function f(x) =  , find the inverse. |
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A. |
f -1(x) = 1  |
B. |
f -1(x) = x - 4 |
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C. |
f -1(x) =  |
D. |
f -1(x) = 4 |
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Hint |
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17. |
Determine the intervals on which the function f(x) = x3 + x2 + x is increasing and the intervals on which the function is decreasing. |
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A. |
increasing for x < 0 and decreasing for x > 0 |
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B. |
increasing for all x |
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C. |
decreasing for all x |
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D. |
increasing for x < 0 and x > 0 |
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Hint |
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18. |
The function f(x) = |x - 4| + 2 has a critical point at x = 4. Determine if this is the location of a maximum, a minimum or a point of inflection. |
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A. |
none of these |
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B. |
There is a maximum at (4,2) |
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C. |
There is a point of inflection at (4,2) |
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D. |
There is a minimum at (4,2) |
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Hint |
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19. |
Use a graphing calculator to graph f(x) = x5 + x4 - x3 + 4 and to determine and classify the extrema. |
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A. |
relative maximum (-2,-4)relative minimum (0,4) |
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B. |
relative maximum (-1.27, 5.35)relative minimum (0.487, 3.968) |
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C. |
relative minimum (-2,-4) relative maximum (0,4) |
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D. |
relative maximum (0.487, 3.968)relative minimum (1.24,5.34) |
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Hint |
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20. |
Graph the function  |
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A. |
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B. |
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C. |
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D. |
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Hint |
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