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1. |
Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2). |
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A. |
-3 |
B. |
37 |
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C. |
5 |
D. |
-35 |
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Hint |
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2. |
Which is the graph of g(x) = |6 - |2x||? |
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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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3. |
Solve the system of equations by elimination.
2x + y - z = 3 x + y + z = 5 x - 2y + z = 2
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A. |
(1, 2, 1) |
B. |
(2, 2, 1) |
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C. |
(2, 1, 2) |
D. |
(1, 1, 2) |
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Hint |
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4. |
 |
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A. |
 |
B. |
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C. |
The product doesn't exist. |
D. |
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Hint |
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5. |
Find the image of after Rot90 · Ry-axis if the vertices are A(2, -3), B(6, -3), and C(2, 5). |
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A. |
A'(-3, 2), B'(-3, 6), C'(5, 2) |
B. |
A'(3, -2), B'(3, -6), C'(-5, -2) |
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C. |
A'(3, 2), B'(3, 6), C'(5, -2) |
D. |
A'(-3, -2), B'(-3, -6), C'(-5, -2) |
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Hint |
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6. |
Solve the system of inequalities 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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7. |
The graph of y = -x2 + 1 is symmetric about __________. |
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A. |
the y-axis |
B. |
neither the x-axis nor the y-axis |
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C. |
the x-axis |
D. |
both the x-axis and the y-axis |
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Hint |
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8. |
Which is the graph of f(x) = x2 - 3 and its inverse? |
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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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9. |
Determine whether the function f(x) = is continuous at x = 1. |
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A. |
None is correct. |
B. |
Yes, it is continuous at x = 1, but not at x = -1. |
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C. |
Yes, the inability to divide by 0 has no bearing on this problem. |
D. |
No, because substituting x = 1 results in a denominator of 0. |
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Hint |
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10. |
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. |
none of these |
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C. |
As x , f(x) , and as x , f(x) . |
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D. |
As x ,f(x) , and as x , f(x) . |
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Hint |
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11. |
How many direction changes are there in the graph of a linear equation? |
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A. |
1 |
B. |
3 |
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C. |
2 |
D. |
0 |
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Hint |
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12. |
Ilene analyzed her test scores and determined the equation of the best-fit line was y = 4.25x + 72. Predict her score for the 5th test. |
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A. |
72.5 |
B. |
93.25 |
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C. |
88.75 |
D. |
98.5 |
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Hint |
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13. |
Graph the data on a scatter plot. |
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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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14. |
Find the maximum value of f(x, y) = x - 4y for the system of inequalities. 2x + y 3 2x + y -2 y 4 x < 1 |
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A. |
-16 |
B. |
-3 |
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C. |
-17 |
D. |
16 |
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Hint |
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15. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account with 3% interest. He wants no less than $5,000 in the account with 7% interest. For the equation l(x, y) = 30x + 70y find the maximum interest if the vertices are (3,5), (3,7) and (5,5) |
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A. |
500 |
B. |
440 |
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C. |
580 |
D. |
no maximum |
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Hint |
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16. |
Given the function f(x) = , find the inverse. |
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A. |
f -1(x) = 4  |
B. |
f -1(x) = x - 4 |
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C. |
f -1(x) = 1  |
D. |
f -1(x) =  |
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Hint |
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17. |
Given the function f(x) = , is the inverse a function? How do you know? |
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A. |
No, this function fails the horizontal line test. |
B. |
No, this function passes the horizontal line test. |
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C. |
Yes, this function passes the vertical line test. |
D. |
Yes, this function fails the horizontal line test. |
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Hint |
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18. |
Graph the equation using the graph of the given parent function. y = 1 , p(x) = x2 |
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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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19. |
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. |
none of these |
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B. |
There is a point of inflection at (4,2) |
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C. |
There is a minimum at (4,2) |
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D. |
There is a maximum at (4,2) |
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Hint |
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20. |
Which best describes this graph? |
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A. |
inverse variation |
B. |
direct variation |
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C. |
none of these |
D. |
joint variation |
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Hint |
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