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1. |
State the domain and the range of the relation {(1, 2), (-4, 2), and
(3, 5)}. Then state whether the relation is a function. |
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A. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. |
B. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is not a function. |
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C. |
The domain is {-4, 1, 3},
the range is {2, 5}, and the relation is a function. |
D. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is a function. |
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Hint |
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2. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
6x2 + 5 |
B. |
6x2 - 5 |
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C. |
12x2 + 36x + 28 |
D. |
12x2 - 36x + 28 |
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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. |
An automobile manufacturer produces two kinds of cars--the Bobcat x and the Lion y. The company must always produce twice as many Bobcats as Lions and at least 300 cars but no more than 1200 cars per day. Model this situation algebraically. |
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A. |
300  x + 2y 1200 and x = 2y |
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B. |
300 2x + y 1200 |
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C. |
300 x + 2y 1200 |
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D. |
300 x + y 1200 and x = 2y |
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Hint |
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5. |
The cost of producing an item is $5 per item plus an initial cost of $2000. The selling price is $10 per item. Find the break-even point. |
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A. |
4000 items |
B. |
450 items |
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C. |
4500 items |
D. |
400 items |
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Hint |
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6. |
Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. |
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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. |
 |
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A. |
The product doesn't exist. |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
In shipping, an oversize package is one in which the sum of the length and girth exceeds 100 inches, and also one whose length alone exceeds 70 inches. Which of the following best represents this situation? |
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A. |
l + g > 100, g < 70 |
B. |
l + g > 100, l < 70 |
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C. |
l + g > 100, l > 70 |
D. |
l + g < 100, g < 70 |
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Hint |
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9. |
Determine the symmetry of f(x) = x7. |
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A. |
symmetric with respect to the origin |
B. |
symmetric with respect to only the x-axis |
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C. |
not symmetric |
D. |
symmetric with respect to only the y-axis |
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Hint |
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10. |
Which is the graph of y x3 + 1? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
Which is the graph of f(x) = x2 - 3 and its inverse? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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12. |
Describe the end behavior of f(x) = x2 + 1. |
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A. |
As x  , f(x) ,
and as x  , f(x) . |
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B. |
As x ,f(x) ,
and as x , f(x) . |
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C. |
As x , f(x) ,
and as x , f(x) . |
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D. |
none of these |
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Hint |
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13. |
Use the graphing calculator f(x) = x3 +  x2 - x, and
locate the relative maximum point. |
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A. |
There is no relative maximum point. |
B. |
(-1, 0.833) |
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C. |
(0, 0) |
D. |
(0.5, -0.292) |
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Hint |
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14. |
Graph y =  . |
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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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15. |
Solve  - x + 1 = 0. |
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A. |
1, 2 |
B. |
-1, -2 |
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C. |
-1, 2 |
D. |
1, -2 |
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Hint |
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16. |
Evaluate sin (arctan ). Assume that the angle is in Quadrant I. |
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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. |
What is the value of y when x = 2? |
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A. |
1 |
B. |
2 |
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C. |
0 |
D. |
undefined |
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Hint |
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18. |
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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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. |
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. |
decreasing for all x |
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C. |
increasing for all x |
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D. |
increasing for x < 0 and x > 0 |
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Hint |
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