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1. |
Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2). |
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A. |
37 |
B. |
-3 |
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C. |
5 |
D. |
-35 |
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Hint |
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2. |
Find the zero of the function f(x) = -8x + 4. |
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A. |
-2 |
B. |
 |
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C. |
2 |
D. |
 |
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Hint |
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3. |
Which is the graph of the inequality y  |x - 3|? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
The equation 2x - y + 3z = 5 represents _____________ |
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A. |
a circle. |
B. |
none of these. |
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C. |
a line. |
D. |
a plane. |
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Hint |
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5. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
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A. |
A,/i>'(12, -6), B'(21, 3),
C'(-9, -3) |
B. |
A'(9, -3), B'(12, -6),
C'(21, 3) |
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C. |
A'(-3, 9), B'(-6, 12),
C'(3, 21) |
D. |
A'(21, 3), B'(12, -6),
C'(-9, -3) |
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Hint |
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6. |
Graph y = 1 +  . |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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7. |
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 > -1, and the function is
decreasing for x < -1. |
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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 > 2, and the function is
decreasing for x < 2. |
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D. |
The function is increasing for x > 3, and the function is
decreasing for x < 3. |
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Hint |
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8. |
Determine whether the given critical point of x = -7 is the location of a relative maximum, relative minimum, or a point of inflection for the function f(x) =  x3 +  x2 + 1. |
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A. |
point of inflection |
B. |
maximum |
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C. |
none is correct |
D. |
minimum |
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Hint |
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9. |
Use the parent graph f(x) =  to graph the function
k(x) =  ; identify the new location of each asymptote. |
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A. |
y = 5 |
B. |
y = 2 |
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C. |
x = 2 |
D. |
x = 5 |
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Hint |
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10. |
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 = 2 |
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 = 1 |
D. |
none of these |
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Hint |
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11. |
Determine the zeros of the function y = x3 + 2x2 - 5x - 6. |
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A. |
-3, -1, 4 |
B. |
-3, -1, 2 |
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C. |
-3, 2, 0 |
D. |
-1, 2, 3 |
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Hint |
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12. |
Approximate the real zero(s) of f(x) = x3 - 2x2 + 5x - 5 to the nearest tenth. |
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A. |
1.4, 2.1, and 3.2 |
B. |
1.6 |
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C. |
1.2 |
D. |
1.4 |
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Hint |
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13. |
Solve  +  <  . |
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A. |
a < 0 or a > 5 |
B. |
a < 0 or 0 < a < 5 |
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C. |
0 < a < 5 |
D. |
a > 0 or 0 < a < 5 |
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Hint |
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14. |
Find the domain of f(g(x)) given f(x) =  , and g(x) = x-1 |
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A. |
x 1 |
B. |
x1,-1 |
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C. |
all real numbers |
D. |
x0, 1, -1 |
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Hint |
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15. |
What is the value of y when x = 2? |
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 |
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A. |
1 |
B. |
2 |
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C. |
undefined |
D. |
0 |
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Hint |
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16. |
Which is the graph of the compound inequality 0 x + y 4? |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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17. |
Solve the system of 3 equations by substitution. x = 3y + 2z
2x + 3y + 2z = 3
-x + y - z = 6 |
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A. |
(1, 3, -4) |
B. |
(8, 4, -2) |
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C. |
no solution |
D. |
infinite solutions |
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Hint |
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18. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y  -3x + 1
y x - 4
x 0
y 0 |
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A. |
infeasible |
B. |
2 |
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C. |
alternate optimal solutions |
D. |
unbounded |
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Hint |
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19. |
Locate the extrema for the graph y = f(x). |
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A. |
There is a relative minimum at (4,4) and a relative maximum at (0,0) |
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B. |
There is an inflection point at (2,2) |
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C. |
There is a relative maximum at (4,4) and a relative minimum at (0,0) |
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D. |
There is an absolute maximum at (4,4) and an absolute minimum at (0,0) |
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Hint |
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20. |
If y varies jointly as x and the cube root of z,
and y = 30 when x = -5
and z = 27, find y when z = -8 and x = 0.5. |
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A. |
y = 20 |
B. |
y = -2 |
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C. |
y = 4 |
D. |
y = 2 |
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Hint |
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