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1. |
Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2. |
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A. |
Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2. |
B. |
Yes, because the function approaches the same y-value 8 on the left and right sides of x = 2. |
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C. |
Yes, because the function is defined at x = 2. |
D. |
None of these are correct. |
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Hint |
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2. |
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. |
none of these |
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D. |
As x , f(x) , and as x , f(x) . |
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Hint |
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3. |
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 increasing for x > 3, and the function is decreasing for x < 3. |
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B. |
The function is increasing for x > -1, and the function is decreasing for x < -1. |
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C. |
The function is decreasing for x > 0, and the function is increasing for x < 0. |
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D. |
The function is increasing for x > 2, and the function is decreasing for x < 2. |
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Hint |
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4. |
Determine the type of discontinuity this function exhibits.
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A. |
none of these |
B. |
jump discontinuity |
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C. |
point discontinuity |
D. |
infinite discontinuity |
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Hint |
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5. |
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 x > 0 |
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B. |
increasing for x < 0 and decreasing for x > 0 |
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C. |
increasing for all x |
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D. |
decreasing for all x |
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Hint |
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