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1. |
Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2. |
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A. |
None of these are correct. |
B. |
Yes, because the function is defined at x = 2 and approaches y = 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. |
Yes, because the function approaches the same y-value 8 on the left and right sides of x = 2. |
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Hint |
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2. |
Determine whether the function f(x) = is continuous at x = 1. |
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A. |
No, because substituting x = 1 results in a denominator of 0. |
B. |
Yes, the inability to divide by 0 has no bearing on this problem. |
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C. |
Yes, it is continuous at x = 1, but not at x = -1. |
D. |
None is correct. |
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Hint |
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3. |
Describe the end behavior of this function:
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A. |
y 3 as x , y 3 as x  |
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B. |
y as x , y as x  |
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C. |
y -2 as x , y -2 as x  |
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D. |
y 0 as x , y 0 as x  |
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Hint |
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4. |
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. |
decreasing for all x |
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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. |
increasing for x < 0 and x > 0 |
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Hint |
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5. |
Determine the intervals on which the function f(x) = is increasing and the intervals on which the function is decreasing. |
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A. |
decreasing for x < -1 and increasing for x > -1 |
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B. |
increasing for x < -1 and x > -1 |
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C. |
increasing for all x |
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D. |
increasing for x < -1 and decreasing for x > -1 |
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Hint |
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