Local Mins, Maxes, and Concavity-problems-1

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

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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?...
View Full Document

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.

Page1 / 6

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online