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 xcoordinate 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 xaxis 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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 Fall '13
 Wong
 Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, René Descartes, Euclidean geometry

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