Stitz-Zeager_College_Algebra_e-book

Please note that in the notation below we are using

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Unformatted text preview: elations. (a) {(x, −2) : x > −4} (e) {(x, y ) : y < 4} (b) {(2, y ) : y ≤ 5} (f) {(x, y ) : x ≤ 3, y < 2} (c) {(−2, y ) : −3 < y < 4} (g) {(x, y ) : x > 0, y < 4} √ 2 (h) {(x, y ) : − 2 ≤ x ≤ 3 , π < y ≤ 9 } 2 (d) {(x, y ) : x ≤ 3} 3. Describe the following relations using the roster method. y y 4 4 3 3 2 2 1 1 −4 −3 −2 −1 −1 1 x −3 −2 −1 1 2 x 3 (c) The graph of relation C (a) The graph of relation A y y 3 3 2 2 1 1 −3 −2 −1 −1 1 2 3 x −4 −3 −2 −1 −1 −2 2 3 −2 −3 1 −3 (b) The graph of relation B (d) The graph of relation D x 1.2 Relations 19 y y 5 2 4 1 3 2 −4 −3 −2 −1 −1 1 5x −2 −1 −1 1 2 3 4 5 2 3 4 −3 x (e) The graph of relation E 1 (f) The graph of relation F 4. Graph the following lines. (a) x = −2 (b) y = 3 5. What is another name for the line x = 0? For y = 0? 6. Some relations are fairly easy to describe in words or with the roster method but are rather difficult, if not impossible, to graph. Discuss with your classmates how you might graph the following relat...
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