ReviewExam02

# ReviewExam02 - husain(aih243 Exam02Review Gilbert(56215...

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husain (aih243) – Exam02Review – Gilbert – (56215) 1 This print-out should have 16 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points On which interval(s) is f ( x ) = x 4 + 2 x 2 - 1 increasing? 1. ( -∞ , - 1 ] , [ 1 , ) 2. ( -∞ , 0 ] 3. [ - 1 , 1 ] 4. [ 0 , ) 5. [ - 1 , 0 ] , [ 1 , ) 6. ( -∞ , - 1 ] , [ 0 , 1 ] 002 10.0 points A polynomial function f has the properties (i) f ( - 8) = 0 = f ( - 2), (ii) f ′′ ( x ) > 0 on ( - 8 , - 2). Which of the following statements is a conse- quence of these properties? 1. f ( x ) 0 on [ - 8 , - 2] 2. f ( x ) 0 on ( - 8 , - 2) 3. f ( x ) = 0 on [ - 8 , - 2] 4. f ( x ) 0 on [ - 8 , - 2] 5. f ( x ) 0 on ( - 8 , - 2) 003 10.0 points Which one of the following properties does f ( x ) = x - 1 x 2 + 24 have? 1. local max at x = - 6 2. local max at x = 4 3. local min at x = 6 4. local min at x = 4 5. local min at x = - 6 6. local max at x = 6 004 10.0 points Determine if the limit lim x → −∞ 2 + x - 5 x 3 2 + 4 x 3 exists, and if it does, find its value. 1. limit = - 1 2. limit does not exist 3. limit = 1 4. limit = 5 4 5. limit = - 5 4 005 10.0 points Determine the value of lim x → ∞ 4 x 2 + 1 x 2 .

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