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miller_intermediate_algebra_4e_ch1_3

Section 2.5 Introduction to Relations 185 Answers 4. Domain: {5, 2, 4}; range: {0, 8, 15, 16} 5. Domain: {4, 0, 1, 4}; range: {5, 3, 1, 2, 4} y 4 1 2 1 1 Figure 2-30 • A relation may be expressed by an equation such as The solutions to this equation define an infinite 2. set of ordered pairs of the form 26. The solutions can also be represented by a graph in a rectangular coordinate system (Figure 2-30). Finding the Domain and Range of a Relation Write the relation as a set of ordered pairs.Then find the domain and range. a. b. 4 3 2 1 2 1 1 x y 3 Solution: a. From the figure, the relation defines the set of ordered pairs: {(3, 9), (2, 9), (7, 9)} Domain: {3, 2, 7} Range: {9} y x 4 3 1 2 3 4 2 3 4 2 7 9 Example 3 51x, y2 ƒ x y x y 4 3 1 2 3 4 2 3 4 x 3 2 x y2 b. The points in the graph make up the set of ordered pairs: {(2, 3), (1, 0), (0, 1), (1, 0), (2, 3)} Domain: {2, 1, 0, 1, 2} Range: {3, 0, 1} Skill Practice Find the domain and range of the relations. 4. 5. 5 4 y 5 43 21 1 2 3 4 5 1 2 3 4 5 x 3 2 1 5 2 4 0 8 15 16


miller_intermediate_algebra_4e_ch1_3
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