Chapter6-1 - Chapter 6 Joy Zhou Use as a reference only Please DO NOT distribute outside class Chapter 6 6.1 6.2 6.3 6.4 6.5 6.6 6.8 6.9 6.12 6.1(b

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Unformatted text preview: Chapter 6 Joy Zhou 10-14-2009 Use as a reference only. Please DO NOT distribute outside class. Chapter 6 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.8, 6.9, 6.12 6.1 (b) For example, solving | x | =- 1 is like braceleftBigg x =- 1 if x ≥- x =- 1 if x < (1) so it has no solution. (c) The two graphs intersect at ( x, y ) where x satisfies 1 / 2 x + 2 = | x | (2) (3) ⇒ braceleftBigg 1 / 2 x + 2 = x if x ≥ 1 / 2 x + 2 =- x if x < (4) ⇒ braceleftBigg x = 4 > valid x =- 4 / 3 < valid (5) The two intersection points are (- 4 / 3 , 4 / 3) and (4 , 4). 1 To calculate the area, you can divide the region into two triangles, or sub- tract two triangles from a trapzoid. 6.2 f ( x ) =- . 5 x- 1. g ( x ) = |- . 5 x- 1 | = braceleftBigg- . 5 x- 1 x ≤ - 2 . 5 x + 1 x >- 2 (6) Decide when does- . 5 x- 1 = 0 ( x =- 2). (b) f ( x ) = 2 x- 5 < when x¡5/2 = 0 when x = 5/2 > when x¿5/2 (7) So g ( x ) = braceleftBigg 5- 2 x x < 5 / 2 2 x- 5 x ≥ 5 / 2 (8) (c) g ( x ) = braceleftBigg- x- 3 x ≤ - 3 x + 3 x >- 3 (9) 6.3 (a) | 3 x + 5 | = 17...
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This note was uploaded on 12/23/2009 for the course GEN GEN STUDIE taught by Professor Kellyshonttell during the Fall '09 term at University of Washington.

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Chapter6-1 - Chapter 6 Joy Zhou Use as a reference only Please DO NOT distribute outside class Chapter 6 6.1 6.2 6.3 6.4 6.5 6.6 6.8 6.9 6.12 6.1(b

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