PP Section 1.5 - Graphs and Graphing Utilities Definition...

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Graphs and Graphing Utilities
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Definition and Example The graph of an equation in two variables x and y consists of the set of points in the xy-plane whose coordinates (x,y) satisfy the equation. Example:  Since 5 = 2(2) + 1, the point (2, 5) is on the  graph of the equation y = 2x + 1
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Graph y x = - + 3 5 Example : x = 0 y = -3(0) + 5 = 5 x = 1 y = -3(1) + 5 = -3 + 5 = 2 x = 5 y = -3(5) + 5 = -15 + 5 = -10 x = -1 y = -3(-1) + 5 = 3 + 5 = 8 x y 0 5 1 2 5 -10 -1 8
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By plotting the points found in the previous step, the graph can be drawn: -12 12 -10 -8 -6 -4 6 8 10
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The points, if any, at which the graph crosses or touches the coordinate axes are called the intercepts. Procedure for Finding Intercepts 1. To find the x -intercept(s), if any, of the graph of an equation, let y = 0 in the equation and solve for x. 2. To find the y -intercept(s), if any, of the graph of an equation, let x = 0 in the equation and solve for y .
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Example: Find the x-intercepts and y-intercepts
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This note was uploaded on 01/22/2011 for the course MATH 2 taught by Professor Gardner during the Fall '08 term at Irvine Valley College.

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PP Section 1.5 - Graphs and Graphing Utilities Definition...

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