Chap7 Section3

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 7.3 Graphing Rational Functions 655 Version: Fall 2007 7.3 Exercises For rational functions Exercises 1- 20 , follow the Procedure for Graphing Ratio- nal Functions in the narrative, perform- ing each of the following tasks. For rational functions Exercises 1- 20 , perform each of the following tasks. i. Set up a coordinate system on graph paper. Label and scale each axis. Re- member to draw all lines with a ruler. ii. Perform each of the nine steps listed in the Procedure for Graphing Ratio- nal Functions in the narrative. 1. f ( x ) = ( x − 3) / ( x + 2) 2. f ( x ) = ( x + 2) / ( x − 4) 3. f ( x ) = (5 − x ) / ( x + 1) 4. f ( x ) = ( x + 2) / (4 − x ) 5. f ( x ) = (2 x − 5) / ( x + 1) 6. f ( x ) = (2 x + 5 / (3 − x ) 7. f ( x ) = ( x + 2) / ( x 2 − 2 x − 3) 8. f ( x ) = ( x − 3) / ( x 2 − 3 x − 4) 9. f ( x ) = ( x + 1) / ( x 2 + x − 2) 10. f ( x ) = ( x − 1) / ( x 2 − x − 2) 11. f ( x ) = ( x 2 − 2 x ) / ( x 2 + x − 2) 12. f ( x ) = ( x 2 − 2 x ) / ( x 2 − 2 x − 8) 13. f ( x ) = (2 x 2 − 2 x − 4) / ( x 2 − x − 12) 14. f ( x ) = (8 x − 2 x 2 ) / ( x 2 − x − 6) Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 15. f ( x ) = ( x − 3) / ( x 2 − 5 x + 6) 16. f ( x ) = (2 x − 4) / ( x 2 − x − 2) 17. f ( x ) = (2 x 2 − x − 6) / ( x 2 − 2 x ) 18. f ( x ) = (2 x 2 − x − 6) / ( x 2 − 2 x ) 19. f ( x ) = (4+2 x − 2 x 2 ) / ( x 2 +4 x +3) 20. f ( x ) = (3 x 2 − 6 x − 9) / (1 − x 2 ) In Exercises 21- 28 , find the coordinates of the x-intercept(s) of the graph of the given rational function. 21. f ( x ) = 81 − x 2 x 2 + 10 x + 9 22. f ( x ) = x − x 2 x 2 + 5 x − 6 23. f ( x ) = x 2 − x − 12 x 2 + 2 x − 3 24. f ( x ) = x 2 − 81 x 2 − 4 x − 45 25. f ( x ) = 6 x − 18 x 2 − 7 x + 12 26. f ( x ) = 4 x + 36 x 2 + 15 x + 54 27. f ( x ) = x 2 − 9 x + 14 x 2 − 2 x 28. f ( x ) = x 2 − 5 x − 36 x 2 − 9 x + 20 656 Chapter 7 Rational Functions Version: Fall 2007 In Exercises 29- 36 , find the equations of all vertical asymptotes. 29. f ( x ) = x 2 − 7 x x 2 − 2 x 30. f ( x ) = x 2 + 4 x − 45 3 x + 27 31. f ( x ) = x 2 − 6 x + 8 x 2 − 16 32. f ( x ) = x 2 − 11 x + 18 2 x − x 2 33. f ( x ) = x 2 + x − 12 − 4 x + 12 34. f ( x ) = x 2 − 3 x − 54 9 x − x 2 35. f ( x ) = 16 − x 2 x 2 + 7 x + 12 36. f ( x ) = x 2 − 11 x + 30 − 8 x + 48 In Exercises 37- 42 , use a graphing cal- culator to determine the behavior of the given rational function as x approaches both positive and negative infinity by per- forming the following tasks: i. Load the rational function into the Y= menu of your calculator. ii. Use the TABLE feature of your calcula- tor to determine the value of f ( x ) for x = 10, 100, 1000, and 10000. Record these results on your homework in ta- ble form....
View Full Document

This document was uploaded on 01/31/2008.

Page1 / 18

Chap7 Section3 - Section 7.3 Graphing Rational Functions 655 Version Fall 2007 7.3 Exercises For rational functions Exercises 1 20 follow the

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