FinalF2009

# FinalF2009 - Math 110 Final Exam All Sections including SL...

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Unformatted text preview: Math 110 Final Exam All Sections including SL Center Dec 14–18, 2009 Do not write on this exam. 1. What is the range of the function defined by the equation y = x 2 + 4 x ? (a) [ − 4 , ∞ ) (b) ( − 4 , ∞ ) (c) [ − 2 , ∞ ) (d) ( − 2 , ∞ ) (e) ( −∞ , − 4] (f) ( −∞ , − 2) 2. If b and c are real numbers so that the polynomial x 2 + bx + c has 2 + i as a zero, find b + c . (a) − 2 (b) − 1 (c) 0 (d) 1 (e) 2 (f) 3 3. Let R ( x ) = 3 x 3 + x 2 + 3 x + 3 x 2 − x + 1 . Find the oblique asymptote for R ( x ). (a) y = 3 x (b) y = 3 x + 1 (c) y = 3 x + 2 (d) y = 3 x + 3 (e) y = 3 x + 4 (f) y = 3 x + 5 4. Solve the inequality: x 2 + x x − 2 ≥ (a) ( −∞ , 0] (b) [ − 1 , 2) (c) [ − 1 , 0] ∪ (2 , ∞ ) (d) ( −∞ , − 1] ∪ { } ∪ (2 , ∞ ) (e) {− 1 , } (f) All real numbers. 5. Solve the inequality: 2 x + 1 x + 1 + 1 < 0. (a) ( −∞ , − 1) ∪ ( − 2 / 3 , ∞ ) (b) ( − 1 , − 2 / 3) (c) (2 / 3 , 1) (d) ( −∞ , 2 / 3) ∪ (1 , ∞ ) (e) ( − 1 , − 1 / 2) 6. Find the remainder when x 100 + 8 x 97 − 3 x 2 − 5 x is divided by x + 2....
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FinalF2009 - Math 110 Final Exam All Sections including SL...

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