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1. |
State the domain of the function  |
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A. |
all real numbers except 0 and 3 |
B. |
all real numbers except 0, 1, and 3 |
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C. |
all real numbers except 3 |
D. |
all real numbers except 0 |
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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. |
 |
B. |
2 |
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C. |
-2 |
D. |
 |
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Hint |
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3. |
Write an equation in slope-intercept form for the line with a slope of and a y-intercept of -3. |
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A. |
y = x + 3 |
B. |
y = x + 3 |
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C. |
y = x - 3 |
D. |
y = x - 3 |
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Hint |
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4. |
Write an equation in slope-intercept form for the line with a slope -3 and passes through the point (4, 2). |
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A. |
y = -3x + 2 |
B. |
y = -3x + 4 |
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C. |
y = -3x + 14 |
D. |
y = -3x - 8 |
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Hint |
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5. |
Find the values of x and y for which the matrix equation is true. |
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A. |
x = -3, y = -1 |
B. |
x = 1, y = -3 |
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C. |
x = -3, y = 1 |
D. |
x = -1, y = -3 |
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Hint |
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6. |
Find the value of . |
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A. |
24 |
B. |
-24 |
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C. |
-28 |
D. |
28 |
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Hint |
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7. |
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. |
maximum |
B. |
minimum |
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C. |
point of inflection |
D. |
none is correct |
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Hint |
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8. |
If you solve x2 - 8x - 20 = 0 by the method of completing the square, add 20 to each side and then ____. |
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A. |
add 16 to each side |
B. |
add 32 to each side |
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C. |
add 8 to each side |
D. |
add 4 to each side |
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Hint |
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9. |
Solve > 0. |
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A. |
-1 < x < 0 or x > 1 |
B. |
-2 < x < 0 or x < 1 |
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C. |
-2 < x < 0 or x > 2 |
D. |
-1 < x < 0 or x > 2 |
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Hint |
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10. |
Solve 4. |
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A. |
none of these |
B. |
0 x 8 |
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C. |
x 8 |
D. |
x 0 |
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Hint |
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11. |
State the domain and range of the relation. |
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A. |
The domain and the range include all real numbers. |
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B. |
The domain includes negative real numbers. The range includes all real numbers. |
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C. |
The domain includes all real numbers. The range includes all positive real numbers. |
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D. |
The domain includes just positive real numbers. The range includes all real numbers. |
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Hint |
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12. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
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A. |
5x - 3y - 12 = 0 |
B. |
5x + 3y - 12 = 0 |
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C. |
5x - 3y - 4 = 0 |
D. |
3x + 5y - 50 = 0 |
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Hint |
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13. |
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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14. |
 |
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A. |
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B. |
impossible |
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C. |
 |
D. |
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Hint |
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15. |
The quadrilateral with vertices A(-1,5), B(2,7), C(4,5) and D(3,3) is reflected over the line y = x . Find the image of the quadrilateral after the reflection. |
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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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16. |
Use matrices to determine the coordinates of the image of
with vertices A(-3,4), B(-5,2) and C(-6,5) once it is rotated 90°. |
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A. |
A'(3,-4), B(5,-2) and C'(6,-5) |
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B. |
A'(-4,-3), B(-2,-5) and C'(-5,-6) |
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C. |
A'(3,4), B(5,2) and C'(6,5) |
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D. |
A'(-3,-4), B(-5,-2) and C'(-6,-5) |
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Hint |
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17. |
Which is the graph of y > (x - 3)2? |
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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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18. |
Given the function f(x) = x2 - 8x + 16, is the inverse a function? How do you know? |
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A. |
No, fails the horizontal line test. |
B. |
No, fails the vertical line test. |
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C. |
Yes, passes the vertical line test. |
D. |
Yes, fails the horizontal line test. |
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Hint |
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19. |
Describe the end behavior of this function:
 |
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A. |
y 0 as x , y 0 as x  |
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B. |
y 3 as x , y 3 as x  |
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C. |
y as x , y as x  |
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D. |
y -2 as x , y -2 as x  |
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Hint |
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20. |
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. |
There is a maximum at (4,2) |
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B. |
none of these |
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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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