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1. |
State the domain of  (x) for f(x) =  and g(x) =  |
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Hint |
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2. |
If you use the parent graph y = x2 as a reference, describe how you would
graph y = -x2 - 3. |
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A. |
Reflect the parent graph over the y-axis and then move the graph to the left 3 units. |
B. |
Reflect the parent graph over the x-axis and then move the graph down 3 units. |
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C. |
Reflect the parent graph over the x-axis and then move the graph up 3 units. |
D. |
Reflect the parent graph over the y-axis and then move the graph down 3 units. |
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Hint |
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3. |
Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema. |
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A. |
relative minimum:
(-0.6, 1.38);
relative maximum:
(0.6, 0.62) |
B. |
relative minimum:
(1.38, -0.6);
relative maximum:
(0.6, 0.62) |
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C. |
relative maximum:
(1.38, -0.6);
relative minimum
(0.6, 0.62) |
D. |
relative maximum:
(-0.6, 1.38);
relative minimum:
(0.6, 0.62) |
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Hint |
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4. |
Ten years ago, Mary invested $2500. Four years later, she invested $3000. Set up an equation that determines the current value of the two investments T(x) if each earns 10% annual interest per year. |
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A. |
T(x) = 3000(1.0)10 +
2500(1.1)4 |
B. |
T(x) = 2500(1.1)10 +
3000(1.1)6 |
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C. |
T(x) = 2500(1.1)10 +
3000(1.1)4 |
D. |
T(x) = 3000(1.0)10 +
2500(1.1)6 |
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Hint |
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5. |
Determine the zeros of the function y = x3 + 2x2 - 5x - 6. |
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A. |
-1, 2, 3 |
B. |
-3, 2, 0 |
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C. |
-3, -1, 4 |
D. |
-3, -1, 2 |
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Hint |
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6. |
Change north latitude 10.625° to degrees, minutes, and seconds. |
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A. |
10° 37' 30" |
B. |
10° 37' 50" |
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C. |
10° 36' 30" |
D. |
10° 36' 50" |
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Hint |
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7. |
A regular pentagon is inscribed in a circle with diameter 20 centimeters. The apothem of a regular polygon is the measure of a line segment from the center of the polygon to the midpint of one of its sides. Find the apothem of the pentagon. |
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A. |
about 11.79 cm |
B. |
about 8.09 cm |
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C. |
about 18.87 cm |
D. |
about 5.30 cm |
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Hint |
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8. |
Find the area of a sector if the central angle measures  radians and the radius of the circle is 22 centimeters. Round to the nearest tenth. |
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A. |
253.4 cm2 |
B. |
231.1 cm2 |
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C. |
1013.7 cm2 |
D. |
506.8 cm2 |
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Hint |
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9. |
Write an equation of a cosine function with amplitude 3, period  , phase shift  , and vertical shift 2. |
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B. |
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Hint |
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10. |
Let  . Find  . |
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B. |
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Hint |
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11. |
What is the conjugate of –9 – 2i? |
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A. |
9 |
B. |
–9 + 2i |
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C. |
2 + 9i |
D. |
2 – 9i |
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Hint |
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12. |
Find the standard form of the equation x2 - 5y2 - 2x - 10y - 9 = 0. |
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B. |
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D. |
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Hint |
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13. |
Determine the amount of money in a money market account providing an annual rate of 7% compounded daily if George invested $2500 and left it in the account for 10 years. |
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A. |
$4917.88 |
B. |
$4915.25 |
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C. |
$5034.04 |
D. |
$4974.47 |
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Hint |
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14. |
Evaluate  . |
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A. |
4.2934 |
B. |
3.5121 |
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C. |
3.0893 |
D. |
3.6444 |
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Hint |
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15. |
The maximum cost of Ana's long-distance plan is $5.00 each month plus $0.10 per minute.Name a combination of minutes and cost that fit this inequality. |
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A. |
(10, 6) |
B. |
(10,15) |
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C. |
(15,10) |
D. |
(6,10) |
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Hint |
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16. |
Find the values of x and y for which the matrix equation is true. |
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A. |
x = 2, y = 3 |
B. |
x = 3, y = 2 |
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C. |
x = 1, y = 0 |
D. |
x = 4, y = 2 |
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Hint |
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17. |
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A. |
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B. |
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C. |
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D. |
impossible |
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Hint |
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18. |
A quadrilateral with vertices A(-2,-3), B(-4,2), C(-2,4) and D(0,2) is translated 5 units to the right and 3 units down. What are the new coordinates? |
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A. |
A(3,-6), B(1,-1), C(3,1), D(5,-1) |
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B. |
A(3,0), B(-1,5), C(3,7), D(5,5) |
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C. |
A(-5,2), B(-7, 7), C(-5, 9), D(-3, 7) |
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D. |
A(3,-6), B(1,-1), C(3,7), D(5,5) |
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Hint |
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19. |
Write a matrix that will translate a rectangular prism (which will always have 8 vertices) using the vector  . |
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B. |
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Hint |
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20. |
Write the equation of the hyperbola with center at (2, 1), a focus at (2, 6) and eccentricity of |
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Hint |
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