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**Unformatted text preview: **Section 2.1 Introduction to Functions 87 Version: Fall 2007 2.1 Exercises In Exercises 1- 6 , state the domain and range of the given relation. 1. R = { (1 , 3) , (2 , 4) , (3 , 4) } 2. R = { (1 , 3) , (2 , 4) , (2 , 5) } 3. R = { (1 , 4) , (2 , 5) , (2 , 6) } 4. R = { (1 , 5) , (2 , 4) , (3 , 6) } 5. x 5 y 5 6. x 5 y 5 Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 In Exercises 7- 12 , create a mapping di- agram for the given relation and state whether or not it is a function. 7. The relation in Exercise 1 . 8. The relation in Exercise 2 . 9. The relation in Exercise 3 . 10. The relation in Exercise 4 . 11. The relation in Exercise 5 . 12. The relation in Exercise 6 . 13. Given that g takes a real number and doubles it, then g : x −→ ?. 14. Given that f takes a real number and divides it by 3, then f : x −→ ?. 15. Given that g takes a real number and adds 3 to it, then g : x −→ ?. 16. Given that h takes a real number and subtracts 4 from it, then h : x −→ ?. 17. Given that g takes a real number, doubles it, then adds 5, then g : x −→ ?. 18. Given that h takes a real number, subtracts 3 from it, then divides the re- sult by 4, then h : x −→ ?. Given that the function f is defined by the rule f : x −→ 3 x − 5, determine where the input number is mapped in Exercises 19- 22 . 19. f : 3 −→ ? 88 Chapter 2 Functions Version: Fall 2007 20. f : − 5 −→ ?...

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