# HW9 - myers(nmm698 HW09 Hamrick(54868 This print-out should...

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myers (nmm698) – HW09 – Hamrick – (54868) 1 This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points If f is the function defined on [ - 4 , 4] by f ( x ) = x + | x | - 4 , which of the following properties does f have? A. Absolute maximum at x = 0 . B. Continuous at x = 0 . 1. both of them 2. B only 3. neither of them 4. A only 002 10.0 points If f is a continuous function on [0 , 6] having (1) an absolute maximum at 2 , and (2) an absolute minimum at 4, which one of the following could be the graph of f ? 1. 2 4 6 2 4 x y 2. 2 4 6 2 4 x y 3. 2 4 6 2 4 x y 4. 2 4 6 2 4 x y 5. 2 4 6 2 4 x y

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myers (nmm698) – HW09 – Hamrick – (54868) 2 6. 2 4 6 2 4 x y 003 10.0 points Find all the critical values of f ( x ) = x (2 - x ) 1 / 5 . 1. x = - 2 , 5 3 2. x = 2 , 5 3 3. x = 2 4. x = - 2 , - 5 3 5. x = 5 3 6. x = - 2 7. x = 2 , - 5 3 8. x = - 5 3 004 10.0 points If f is the function whose graph is given by 2 4 6 2 4 6 which of the following properties does f have? A. f ( x ) > 0 on ( - 1 , 2) , B. critical point at x = 2 , C. local minimum at x = 4 . 1. none of them 2. all of them 3. B and C only 4. C only 5. A and C only 6. A only 7. B only 8. A and B only 005 10.0 points If the graph of the function defined on [ - 3 , 3] by f ( x ) = x 2 + ax + b has an absolute minimum at ( - 2 , 2), deter- mine the value of f (1). 1. f (1) = 13 2. f (1) = 12 3. f (1) = 11
myers (nmm698) – HW09 – Hamrick – (54868) 3 4. f (1) = 10 5. f (1) = 9 006 10.0 points Find all the critical points of f when f ( x ) = x 4 / 5 ( x - 5) 2 .

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