Pre-Calc Homework Solutions 133

Pre-Calc Homework Solutions 133 - 2. 3 x 2 2 6 . 3 x 2 . 6...

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: 2. 3 x 2 2 6 . 3 x 2 . 6 x 2 . 2 x , 2 2 w or x . 2 w Intervals: ( 2 , 2 2 w ) < ( 2 w , ) 3. Domain: 8 2 2 x 2 $ 8 $ 2 x 2 4 $ x 2 2 2 # x # 2 The domain is [ 2 2, 2]. 4. f is continuous for all x in the domain, or, in the interval [ 2 2, 2]. 5. f is differentiable for all x in the interior of its domain, or, in the interval ( 2 2, 2). 6. We require x 2 2 1 0, so the domain is x 6 1. 7. f is continuous for all x in the domain, or, for all x 6 1. 8. f is differentiable for all x in the domain, or, for all x 6 1. 9. 7 5 2 2( 2 2) 1 C 7 5 4 1 C C 5 3 10. 2 1 5 (1) 2 1 2(1) 1 C 2 1 5 3 1 C C 5 2 4 Section 4.2 Exercises 1. (a) f 9 ( x ) 5 5 2 2 x Since f 9 ( x ) . 0 on 1 2 , } 5 2 } 2 , f 9 ( x ) 5 0 at x 5 } 5 2 } , and f 9 ( x ) , 0 on 1 } 5 2 } , 2 , we know that f ( x ) has a local maximum at x 5 } 5 2 } . Since f 1 } 5 2 } 2 5 } 2 4 5 } , the local maximum occurs at the point 1 } 5 2 } , } 2 4 5 } 2 . (This is also a global maximum.) (b) Since f 9 ( x ) . 0 on...
View Full Document

This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.

Ask a homework question - tutors are online