10.5 Exercises Do the exercises, and check your work. *Additional answers can be found in the Answers to Exercises appendix. Mixed Exercises: Objectives 1–3 1) a) What is a relation? any set of ordered pairs b) What is a function? c) Give an example of a relation that is also a a relation in which each element of the domain corresponds to exactly one element of the range function. Answers may vary. 2) Give an example of a relation that is not a function. Answers may vary. Identify the domain and range of each relation, and determine whether each relation is a function. 3) {(4, 10), (4, 2), (1, 4), (8, 3)} domain: {4, 1, 4, 8}; range: {4, 3, 2, 10}; function 4) {(1, 3), (3, 4), (3, 2), (4, 5), (9, 1)} domain: {1, 3, 4, 9}; range: {1, 2, 3, 4, 5}; not a function 5) {(9, 1), (25, 3), (1, 1), (9, 5), (25, 7)} domain: {1, 9, 25}; range: {3, 1, 1, 5, 7}; not a function 6) {(5, 1), (3, 3), (2, 4), (6, 7), (5, 1)} domain: {5, 2, 3, 5, 6}; range: {7, 1, 1, 3, 4}; function 7) e (4, 2), a3, 1 2 b, a1, 1 2 b, (0, 2) f domain: {4, 3, 1, 0}; range: e2, 1 2 f ; function 8) {(4, 1), (4, 7), (2, 7), (2, 8)} domain: {4, 2, 2, 4}; range: {1, 7, 8}; function 9) {(2.3, 6.2), (3.0, 7.8), (3.0, 3.1), (4.1, 5.7)} 10) {(5, 2), (6, 4), (1, 3), (0, 3)} 11) domain: {4.1, 2.3, 3.0}; range: {5.7, 3.1, 6.2, 7.8}; not a function domain: {0, 1, 5, 6}; range: {2, 3, 4}; function Hawaii New York Miami State City 12) 1234 5 10 15 20 domain: {Hawaii, New York, Miami}; range: {State, City}; not a function 13) 5 2 0 6 11 5 4 domain: {1, 2, 3, 4}; range: {5, 10, 15, 20}; function 14) 1 16 81 123 3 15) x domain: {5, 2, 0, 6}; range: {11, 5, 4}; function y 7 8 4 7 16) x y 4 8 4 4 17) x y 5 5 5 5 18) x y 5 5 5 5 19) domain: (4, q); range: (q, q); not a function domain: (q, q); range: (q, q); function x y 6 6 6 6 20) x y 5 5 5 5 domain: {1, 16, 81}; range: {1, 2, 3, 3}; not a function domain: (q, q); range: (q, q); function domain: 7, 1; range: 1, 3; not a function domain: (q, q); range: (q, 6; function domain: 3, 3; range: 3, 3; not a function www.mhhe.com/messersmith SECTION 10.5 Introduction to Functions 649
messersmith_power_introductory_algebra_1e_ch4_7_10
To see the actual publication please follow the link above