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1. |
Given f(x) = x2 + 1 and g(x) = 2x - 1, find (f - g)(x). |
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A. |
x2 + 2x |
B. |
x2 - 2x + 1 |
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C. |
x2 - 2x + 2 |
D. |
x2 - 2x - 1 |
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Hint |
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2. |
The revenue for the sale of x objects is r(x) = 8x. The cost of manufacturing x objects is c(x) = 0.5x + 300. Write the profit function. |
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A. |
7.5x + 300 |
B. |
8.5x - 300 |
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C. |
7.5x - 300 |
D. |
8.5x + 300 |
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Hint |
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3. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
12x2 - 36x + 28 |
B. |
12x2 + 36x + 28 |
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C. |
6x2 + 5 |
D. |
6x2 - 5 |
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Hint |
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4. |
Find the first three iterates, x1, x2, and x3, of the function
f(x) = 3x - 1 for an initial value x0=1. |
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A. |
8, 23, 88 |
B. |
5, 14, 41 |
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C. |
2, 5, 14 |
D. |
-4, -13, -40 |
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Hint |
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5. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
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A. |
 = 2
 = 6
 = 42 |
B. |
= 2
= 6
= 36 |
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C. |
= 2
= 6
= 12 |
D. |
= 0
= 2
= 4 |
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Hint |
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