Chapter 2: Exercises with Answers

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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-→ ? 21. f : a-→ ? 22. f : 2 a + 3-→ ? Given that the function f is defined by the rule f : x-→ 4- 5 x , determine where the input number is mapped in Exercises 23- 26 . 23. f : 2-→ ? 24. f :- 3-→ ? 25. f : a-→ ? 26. f : 2 a + 11-→ ? Given that the function f is defined by the rule f : x-→ x 2- 4 x- 6 , deter- mine where the input number is mapped in Exercises 27- 30 . 27. f : 1-→ ? 28. f :- 2-→ ? 29. f :- 1-→ ? 30. f : a-→ ? Given that the function f is defined by the rule f : x-→ 3 x- 9 , determine where the input number is mapped in Exercises 31- 34 . 31. f : a-→ ? 32. f : a + 1-→ ? 33. f : 2 a- 5-→ ? 34. f : a + h-→ ? Given that the functions f and g are de- fined by the rules f : x-→ 2 x + 3 and g : x-→ 4- x , determine where the in- put number is mapped in Exercises 35- 38 . 35. f : 2-→ ? 36. g : 2-→ ? 37. f : a + 1-→ ? 38. g : a- 3-→ ? 39. Given that g takes a real number and triples it, then g ( x ) = ? . 40. Given that f takes a real number and divides it by 5, then f ( x ) = ? . 41. Given that g takes a real number and subtracts it from 10, then g ( x ) = ? . 42. Given that f takes a real number, multiplies it by 5 and then adds 4 to the result, then f ( x ) = ? . 43. Given that f takes a real number, doubles it, then subtracts the result from 11, then f ( x ) = ? ....
View Full Document

Page1 / 50

Chapter 2: Exercises with Answers - Section 2.1...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online