Stitz-Zeager_College_Algebra_e-book

A point at which a graph meets the y axis is called

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Unformatted text preview: 1 2 3 y (x, y ) −2 (−3, −2) √ √ 3 − 3 (−2, − 3 3) 0 (−1, 0) 1 (0, 1) 0 (1, 0) √ √ 3 − 3 (2, − 3 3) −2 (3, −2) 3 2 1 −4 −3 −2 −1 1 2 3 4 x −1 −2 −3 Remember, these points constitute only a small sampling of the points on the graph of this equation. To get a better idea of the shape of the graph, we could plot more points until we feel comfortable ‘connecting the dots.’ Doing so would result in a curve similar to the one pictured below on the far left. y 3 2 1 −4 −3 −2 −1 −1 1 2 3 4 x −2 −3 Don’t worry if you don’t get all of the little bends and curves just right − Calculus is where the art of precise graphing takes center stage. For now, we will settle with our naive ‘plug and plot’ approach to graphing. If you feel like all of this tedious computation and plotting is beneath you, then you can reach for a graphing calculator, input the formula as shown above, and graph. Of all of the points on the graph of an equation, the places where the graph crosses...
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