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Unformatted text preview: MAC1140  Exam 3, Fake Test 1. There are 17 multiple choice questions, select the correct answer choice for each question. There are 4 free response questions after this. Twopoint questions 1. Let f ( x ) = x 1 ( x 1) 2 . Then f ( x ) has a hole at x = 1 . (a) True (b) False 2. If 2 i is a root of f ( x ) , then x 2 + 2 divides f ( x ) . (a) True (b) False 3. Let f ( x ) = x 1 ( x 1)( x + 2) . Then f ( x ) has a vertical asymptote at x = 2 . (a) True (b) False 4. (Bonus) The function f ( x ) = 2 x 2 + 3 x 2 x 2 2 x + 6 crosses its horizontal asymptote at: (a) x = 2 (b) x = 0 (c) x = 1 2 (d) x = 2 (e) Nowhere. 5. (Bonus) Let f ( x ) = ax 2 + πx ex 3 + √ 57 . Then f ( x ) does not have a real root. (a) True (b) False 6. (Bonus) Find the vertical asymptotes of the function f ( x ) = ( x 1)( x + 1)( x + 2) 2 ( x + 2)( x 1) 3 ( x + 1) . (a) x = 2 (b) x = 1 (c) x = 1 (d) x = 1 , 2 (e) x = 1 , 1 , 2 Fourpoint questions 7. The system of equations given by 2 x 3 y = 10 5 x...
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 Fall '08
 WILLIAMSON
 Calculus, Algebra, Limit of a function, Asymptotic curve, correct answer choice

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