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1. |
Describe the graph. |
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A. |
relation but not function |
B. |
not a relation but a function |
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C. |
neither a relation nor a function |
D. |
relation and function |
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Hint |
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2. |
If you use the substitution method to solve the system of equations
3x - 2y = 4 and x + y = 5, which of the following would be the best method?
Method I: Solve the second equation for x, and substitute 5 - y for x into the first equation.
Method II: Solve the second equation for y, and substitute 5 - x for y into the first equation.
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A. |
Both Method I and Method II are correct. |
B. |
Method I |
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C. |
Method II |
D. |
Neither Method I nor Method II is correct. |
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Hint |
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3. |
Solve the system of equations x = 4 and 3x - 4y = 12 by graphing. |
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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. |
Solve the systems of equations by using matrix equations. |
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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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5. |
If you use the parent graph y =  as a reference, how would you
graph y = - 3? |
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A. |
Move the parent graph down 3 units. |
B. |
Move the parent graph up 3 units. |
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C. |
Move the parent graph to the left 3 units. |
D. |
Move the parent graph to the right 3 units. |
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Hint |
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6. |
Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema. |
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A. |
relative maximum:
(-0.6, 1.38);
relative minimum:
(0.6, 0.62) |
B. |
relative minimum:
(-0.6, 1.38);
relative maximum:
(0.6, 0.62) |
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C. |
relative minimum:
(1.38, -0.6);
relative maximum:
(0.6, 0.62) |
D. |
relative maximum:
(1.38, -0.6);
relative minimum
(0.6, 0.62) |
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Hint |
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7. |
Determine the zeros of the function y = x3 + 2x2 - 5x - 6. |
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A. |
-3, -1, 2 |
B. |
-3, -1, 4 |
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C. |
-1, 2, 3 |
D. |
-3, 2, 0 |
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Hint |
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8. |
Solve  . |
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A. |
5, 1 |
B. |
5, 2 |
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C. |
2 |
D. |
5 |
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Hint |
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9. |
Simplify cos x + cos x tan2 x. |
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A. |
csc x |
B. |
1 + tan x |
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C. |
tan x |
D. |
sec x |
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Hint |
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10. |
Find a numerical value of one trigonometric function of x if  |
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A. |
sin x = 1 |
B. |
cot x = 1 |
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C. |
cos x = 1 |
D. |
tan x = 1 |
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Hint |
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11. |
Find a numerical value of one trigonometric function of x if  |
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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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12. |
The point nearest to the origin on a line is at (-4,4). Find the standard form of the equation of the line. |
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A. |
x + y + 8 = 0 |
B. |
x - y + 8 = 0 |
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C. |
x + y - 4 = 0 |
D. |
x + y - 8 = 0 |
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Hint |
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13. |
Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x). |
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A. |
4x3 –2x |
B. |
x3 –5x2 +3x -15 |
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C. |
x3 +5x2 +3x-15 |
D. |
x2 –2x-15 |
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Hint |
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14. |
Which equation has an undefined slope? |
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A. |
y = 4x |
B. |
x = 4 |
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C. |
y = 4 |
D. |
y = 4x + 2 |
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Hint |
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15. |
Solve the system of inequalities by graphing.
x + y  4
2x - y < 4
y  0 |
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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. |
The equation f(-x) = -f(x) is true for which statement? |
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A. |
only odd functions |
B. |
only even functions |
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C. |
both odd functions and relations symmetrical about the origin |
D. |
only functions with point symmetry |
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Hint |
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17. |
Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. |
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A. |
(0,7) |
B. |
(3,7) |
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C. |
(0,0) |
D. |
(1,5) |
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Hint |
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18. |
Given the function f(x) = x2 - 8x + 16, find the inverse. |
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A. |
f -1 = x - 2 |
B. |
f -1 = 4  |
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C. |
f -1 = x - 4 |
D. |
f -1 = (x - 4)2 |
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Hint |
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19. |
Describe the end behavior of the function:
f(x) = x4 - x3 + x2 + x - 1 |
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A. |
f(x)  as x  , f(x) as x |
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B. |
f(x) as x , f(x) as x |
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C. |
f(x) as x , f(x) as x |
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D. |
f(x) as x , f(x) as x |
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Hint |
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20. |
The point nearest to the origin on a line is (9, 3). Find the standard form of the equation of the line. |
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A. |
x - 3y = 0 |
B. |
3x + y - 30 = 0 |
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C. |
x + 3y - 18 = 0 |
D. |
3x - y - 24 = 0 |
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Hint |
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