Stitz-Zeager_College_Algebra_e-book

G 3 1 is on the graph but 3 1 is not the graph is not

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Unformatted text preview: is not symmetric about the y -axis (e.g. (−3, 7) is on the graph but (3, 7) is not) The graph is not symmetric about the origin (e.g. (−3, 7) is on the graph but (3, −7) is not) 1.3 Graphs of Equations (c) y = x3 − x 29 (d) y = x3 4 − 3x x-intercepts: (−1, 0), (0, 0), (1, 0) √ x-intercepts: ±2 3, 0 y -intercept: (0, 0) y -intercept: (0, 0) x −2 −1 0 1 2 y (x, y ) −6 (−2, −6) 0 (−1, 0) 0 (0, 0) 0 (1, 0) 6 (2, 6) y 6 5 4 3 2 1 −2 −1 −1 1 2 x x −4 −3 −2 −1 0 1 2 3 4 y −4 (x, y ) (−4, −4) −3, 9 4 (−2, 4) −1, 11 4 (0, 0) 1, − 11 4 (2, −4) 3, − 9 4 (4, 4) 9 4 4 11 4 0 − 11 4 −4 −9 4 4 y 4 −2 3 −3 2 −4 1 −5 −6 −4 −3 −2 −1 −1 1 2 3 4 x −2 The graph is not symmetric about the x-axis. (e.g. (2, 6) is on the graph but (2, −6) is not) The graph is not symmetric about the y -axis. (e.g. (2, 6) is on the graph but (−2, 6) is not) The graph is symmetric about the origin. −3 −4 The graph is not symmetric about the x-axis (e.g. (−4,...
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