Stitz-Zeager_College_Algebra_e-book

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Unformatted text preview: speak of the Cartesian Coordinate Plane, we mean the set of all possible ordered pairs (x, y ) as x and y take values from the real numbers. Below is a summary of important facts about Cartesian coordinates. Important Facts about the Cartesian Coordinate Plane • (a, b) and (c, d) represent the same point in the plane if and only if a = c and b = d. • (x, y ) lies on the x-axis if and only if y = 0. • (x, y ) lies on the y -axis if and only if x = 0. • The origin is the point (0, 0). It is the only point common to both axes. 4 Relations and Functions The axes divide the plane into four regions called quadrants. They are labeled with Roman numerals and proceed counterclockwise around the plane: y 4 Quadrant II Quadrant I 3 x < 0, y > 0 x > 0, y > 0 2 1 −4 −3 −2 −1 1 2 3 4 x −1 −2 Quadrant III Quadrant IV −3 x < 0, y < 0 x > 0, y < 0 −4 For example, (1, 2) lies in Quadrant I, (−1, 2) in Quadrant II, (−1, −2) in Quadrant III, and (1, −2) in Quadrant IV. If a...
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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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