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Stitz-Zeager_College_Algebra_e-book

# Eg 2 6 is on the graph but 2 6 is not the graph is

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Unformatted text preview: here. (a) x3 + y 3 − 3xy = 0 Folium of Descartes (c) y 2 = x3 + 3x2 Tschirnhausen cubic (b) x4 = x2 + y 2 Kampyle of Eudoxus (d) (x2 + y 2 )2 = x3 + y 3 Crooked egg 28 Relations and Functions 1.3.2 Answers (b) y = x2 − 2x − 8 1. (a) y = x2 + 1 The graph has no x-intercepts x-intercepts: (4, 0), (−2, 0) y -intercept: (0, 1) y -intercept: (0, −8) x −2 −1 0 1 2 y (x, y ) 5 (−2, 5) 2 (−1, 2) 1 (0, 1) 2 (1, 2) 5 (2, 5) y 5 4 3 2 1 −2 −1 1 2 x The graph is not symmetric about the x-axis (e.g. (2, 5) is on the graph but (2, −5) is not) The graph is symmetric about the y -axis The graph is not symmetric about the origin (e.g. (2, 5) is on the graph but (−2, −5) is not) x −3 −2 −1 0 1 2 3 4 5 y (x, y ) 7 (−3, 7) 0 (−2, 0) −5 (−1, −5) −8 (0, −8) −9 (1, −9) −8 (2, −8) −5 (3, −5) 0 (4, 0) 7 (5, 7) y 7 6 5 4 3 2 1 −3 2 1 −− −2 −3 −4 −5 −6 −7 −8 −9 12345 x The graph is not symmetric about the x-axis (e.g. (−3, 7) is on the graph but (−3, −7) is not) The graph...
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