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1. |
Determine the symmetry of the graph of xy = -4. |
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A. |
the line y = -x |
B. |
the line y = x and the line y = -x |
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C. |
none is correct |
D. |
the line y = x |
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Hint |
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2. |
Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related. |
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A. |
None are true. |
B. |
The graph of g(x) is a reflection of the graph of f(x) over the x- and y-axes. |
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C. |
The graph of g(x) is a reflection of the graph of f(x) over the y-axis. |
D. |
The graph of g(x) is a reflection of the graph of f(x) over the x-axis. |
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Hint |
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3. |
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 down 3 units. |
B. |
Reflect the parent graph over the y-axis and then move the graph to the left 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 x-axis and then move the graph down 3 units. |
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Hint |
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4. |
Which point is one of an infinite number of solutions for the inequality y > (x + 2)2 - 4? |
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A. |
(1, 5) |
B. |
(2, 12) |
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C. |
(-1, 5) |
D. |
(3, 4) |
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Hint |
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5. |
A family has a monthly net pay N which is 70% of their gross monthly pay G. They decided to subtract their monthly food allowance of $350 from their monthly net pay and invest 5% of the remainder. Write an equation for the investment each month I, given the above restrictions. |
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A. |
I = 0.95(0.3G - 350) |
B. |
I = 0.05(0.7G - 350) |
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C. |
I = 0.95(0.7G - 350) |
D. |
I = 0.05(0.3G - 350) |
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Hint |
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6. |
Suppose I = 0.05(0.6G - 400), where G = the gross monthly pay and I = the amount of the investment. Determine the equation which represents the inverse process. |
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A. |
G =  |
B. |
G =  |
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C. |
G =  |
D. |
G =  |
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Hint |
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7. |
Determine whether the function f(x) = is continuous at x = 1. |
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A. |
Yes, it is continuous at x = 1, but not at x = -1. |
B. |
No, because substituting x = 1 results in a denominator of 0. |
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C. |
None is correct. |
D. |
Yes, the inability to divide by 0 has no bearing on this problem. |
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Hint |
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8. |
Determine the interval(s) on which the function f(x) = 2|x + 1| + 3 is increasing and the interval(s) on which the function is decreasing. |
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A. |
The function is decreasing for x > 0, and the function is increasing for x < 0. |
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B. |
The function is increasing for x > 2, and the function is decreasing for x < 2. |
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C. |
The function is increasing for x > 3, and the function is decreasing for x < 3. |
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D. |
The function is increasing for x > -1, and the function is decreasing for x < -1. |
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Hint |
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9. |
Use the graphing calculator f(x) = x3 + x2 - x, and locate the relative maximum point. |
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A. |
(-1, 0.833) |
B. |
(0.5, -0.292) |
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C. |
There is no relative maximum point. |
D. |
(0, 0) |
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Hint |
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10. |
If y varies jointly as the square of x and the cube of z and y = 9 when x = 3 and z = 4, find y when x = 8 and z = 5. |
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A. |
100 |
B. |
40 |
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C. |
45 |
D. |
125 |
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Hint |
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11. |
Suppose y varies directly as x and y = 13 when x = 7. Find the constant of variation and write an equation. |
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A. |
k = and y = 13 · 7x |
B. |
k = and y = x |
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C. |
k = and y = x |
D. |
k = and y = 13 · 7x |
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Hint |
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12. |
The equation f(-x) = -f(x) is true for which statement? |
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A. |
both odd functions and relations symmetrical about the origin |
B. |
only functions with point symmetry |
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C. |
only odd functions |
D. |
only even functions |
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Hint |
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13. |
Solve |3x + 5| - 4 < 2. |
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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. |
Locate the extrema for the graph y = f(x). |
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A. |
There is an inflection point at (2,2) |
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B. |
There is a relative minimum at (4,4) and a relative maximum at (0,0) |
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C. |
There is an absolute maximum at (4,4) and an absolute minimum at (0,0) |
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D. |
There is a relative maximum at (4,4) and a relative minimum at (0,0) |
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Hint |
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15. |
Use the parent graph f(x) = to graph the function g(x) = . |
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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. |
Determine the slant asymptote for f(x) = . |
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A. |
y = -x + 3 |
B. |
y = 4 |
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C. |
y = x + 4 |
D. |
y = x + 3 |
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Hint |
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