186 Chapter 2 Linear Equations in Two Variables and Functions Finding the Domain and Range of a Relation Example 4 Use interval notation to express the domain and range of the relation. a. b. 5 y 5 43 21 1 2 3 4 5 2 3 4 5 10 8 42 y 2 Solution: a. The domain consists of an infinite number of x-values extending from 8 to 8 (shown in red). The range consists of all y-values from 5 to 5 (shown in blue). Thus, the domain and range must be expressed in set-builder notation or in interval notation. Domain: 34 8, 8 Range: 35, 5 4 4 1 x 3 2 1 1086 2 4 6 8 10 4 6 8 10 x 6 4 2 10 8 y 1086 42 2 4 6 8 10 2 4 6 8 10 x 6 4 2 y b. The arrow on the curve indicates that the graph extends infinitely far up and to the right.The open circle means that the graph will end at the point (4,2), but not include that point. Domain: 30, 2 Range: 5 4 21 1 Skill Practice Use interval notation to express the domain and range of the relations. 6. 7. 5 4 y 5 43 21 1 2 3 4 5 1 2 3 4 5 x 3 2 1 5 4 y 5 43 21 1 2 3 4 5 1 2 3 4 5 x 3 2 1 12, 2 5 43 1 2 3 4 5 2 3 4 5 x 3 2 1 Answers 6. Domain: 4, 0 Range: 2, 2 7. Domain: (, 0 Range: (, )
miller_intermediate_algebra_4e_ch1_3
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