**Unformatted text preview: **ution. The relation R consists of those points whose y -coordinate only is restricted between 1
and 3 excluding 1, but including 3. The x-coordinate is free to be whatever we like. After plotting
some3 friendly elements of R, it should become clear that R consists of the region between the
horizontal lines y = 1 and y = 3. Since R requires that the y -coordinates be greater than 1, but not
equal to 1, we dash the line y = 1 to indicate that those points do not belong to R. Graphically,
y
4
3
2
1 −4 −3 −2 −1 1 2 3 4 x The graph of R 2
3 In fact, much of our time in College Algebra will be spent examining the graphs of equations.
The word ‘some’ is a relative term. It may take 5, 10, or 50 points until you see the pattern. 18 Relations and Functions 1.2.1 Exercises 1. Graph the following relations.
(a) {(−3, 9), (−2, 4), (−1, 1), (0, 0), (1, 1), (2, 4), (3, 9)}
(b) {(−2, 2), (−2, −1), (3, 5), (3, −4)}
(c) n, 4 − n2 : n = 0, ±1, ±2 (d) 6
k,k : k = ±1, ±2, ±3, ±4, ±5, ±6 2. Graph the following r...

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