Local Mins, Maxes, and Concavity-problems-1

# Local Mins, Maxes, and Concavity-problems-1 - handa...

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Unformatted text preview: handa (nh5757) – Local Mins, Maxes, and Concavity – bormashenko – (54880) 1 This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine the increasing and decreasing properties of the function f ( x ) = ( x − 4) 4 5 ( x + 2) 1 5 on its natural domain. 1. inc: [ − 2 , − 4 5 ] ∪ [4 , ∞ ) , dec: [ − 4 5 , 4] 2. inc: ( −∞ , − 2] ∪ [4 , ∞ ) , dec: [ − 2 , 4] 3. inc: [ − 4 5 , 4] , dec: [ − 2 , − 4 5 ] ∪ [4 , ∞ ) 4. inc: [ − 2 , − 4 5 ] , dec: [ − 4 5 , ∞ ) 5. inc: ( −∞ , − 4 5 ] ∪ [4 , ∞ ) , dec: [ − 4 5 , 4] 002 10.0 points Determine the increasing and decreasing properties of f ( x ) = (7 − x ) 1 / 2 ( x + 2) 1 / 2 on its natural domain. 1. dec on [ − 2 , 5 2 ] , inc on [ 5 2 , 7] 2. inc on [ − 2 , 5] , dec on [5 , ∞ ) 3. inc on [ − 2 , 5] , dec on [ 5 2 , ∞ ) 4. inc on ( −∞ , 5 2 ] , dec on [ 5 2 , 7] 5. inc on [ − 2 , 5 2 ] , dec on [ 5 2 , 7] 003 10.0 points Let f be the function defined by f ( x ) = 1 + x 2 / 3 . Consider the following properties: A. has local maximum at x = 0 B. concave up on ( −∞ , 0) ∪ (0 , ∞ ) Which does f have?...
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## This note was uploaded on 11/21/2011 for the course M 408N taught by Professor Gualdini during the Spring '10 term at University of Texas.

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Local Mins, Maxes, and Concavity-problems-1 - handa...

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