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Unformatted text preview: Math 110 Final Exam All Sections including SL Center Dec 1418, 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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 Fall '08
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