Stitz-Zeager_College_Algebra_e-book

4 introduction to functions one of the core concepts

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Unformatted text preview: is not symmetric about the origin (e.g. (3, 2) is on the graph but (−3, −2) is not) The graph is not symmetric about the x-axis (e.g. (2, −2) is on the graph but (2, 2) is not) The graph is not symmetric about the y -axis (e.g. (2, −2) is on the graph but (−2, −2) is not) The graph is not symmetric about the origin (e.g. (2, −2) is on the graph but (−2, 2) is not) 32 Relations and Functions (i) (x + 2)2 + y 2 = 16 Re-write as y = ± 16 − (x + 2)2 . x-intercepts: (−6, 0), (2, 0) √ y -intercepts: 0, ±2 3 x −6 −4 −2 0 2 y 0 √ ±2 3 ±4 √ ±2 3 0 (x, y ) (−6, 0) √ −4, ±2 3 (−2, ±4) √ 0, ±2 3 (2, 0) y (j) x2 − y 2 = 1 √ Re-write as: y = ± x2 − 1. x-intercepts: (−1, 0), (1, 0) The graph has no y -intercepts x −3 −2 −1 1 2 3 y (x, y ) √ √ ± 8 (−3, ± 8) √ √ ± 3 (−2, ± 3) 0 (−1, 0) 0 (1, 0) √ √ ± 3 (2, ± 3) √ √ ± 8 (3, ± 8) 5 y 4 3 3 2 2 1 1 −7 −6 −5 −4 −3 −2 −1 −1 1 2 3 x −2 −3 −3 −2 −1 −1 1 2 3 x −2 −3 −4 −5 The graph is symmetric about the x-axis The graph is not symmetric...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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