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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. |
None of these are correct. |
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C. |
Yes, because the function approaches the same y-value 8 on the left and right sides of x = 2. |
D. |
Yes, because the function is defined at 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. |
None is correct. |
B. |
No, because substituting x = 1 results in a denominator of 0. |
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C. |
Yes, it is continuous at x = 1, but not at x = -1. |
D. |
Yes, the inability to divide by 0 has no bearing on this problem. |
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Hint |
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3. |
When is the function f(x) =  continuous at x = 2? |
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A. |
not enough information is given |
B. |
sometimes |
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C. |
always |
D. |
never |
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Hint |
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4. |
Describe the end behavior of f(x) = x2 + 1. |
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A. |
none of these |
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B. |
As x , f(x) , and as x , f(x) . |
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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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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 all x |
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B. |
increasing for x < 0 and x > 0 |
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C. |
decreasing for all x |
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D. |
increasing for x < 0 and decreasing for x > 0 |
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Hint |
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