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Stitz-Zeager_College_Algebra_e-book

We can simply describe the points in v as those

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Unformatted text preview: d Functions y y 4 4 3 3 2 2 1 1 −4 −3 −2 −1 1 2 3 4 x This is NOT the correct graph of HLS2 −4 −3 −2 −1 1 2 3 4 x The graph of HLS2 4. Our last example, V , describes the set of points (3, y ) such that y is a real number. All of these points have an x-coordinate of 3, but the y -coordinate is free to be whatever it wants to be, without restriction. Plotting a few ‘friendly’ points of V should convince you that all the points of V lie on a vertical line which crosses the x-axis at x = 3. Since there is no restriction on the y -coordinate, we put arrows on the end of the portion of the line we draw to indicate it extends indeﬁnitely in both directions. The graph of V is below on the left. y 4 y 3 2 −4 −3 −2 −1 1 2 3 4 x −1 1 1 2 3 4 x −2 −1 −3 −2 −4 −3 The graph of y = −2 −4 The graph of V The relation V in the previous example leads us to our ﬁnal way to describe relations: algebraically. We can simply describe the points in V as those points which satisfy the equation x = 3. Most likely, you ha...
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