Chap7 Section1

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

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Section 7.1 Introducing Rational Functions 615 Version: Fall 2007 7.1 Exercises In Exercises 1 - 14 , perform each of the following tasks for the given rational func- tion. i. Set up a coordinate system on a sheet of graph paper. Label and scale each axis. ii. Use geometric transformations as in Examples 10, 12, and 13 to draw the graphs of each of the following ra- tional functions. Draw the vertical and horizontal asymptotes as dashed lines and label each with its equa- tion. You may use your calculator to check your solution, but you should be able to draw the rational function without the use of a calculator. iii. Use set-builder notation to describe the domain and range of the given rational function. 1. f ( x ) = 2 /x 2. f ( x ) = 3 /x 3. f ( x ) = 1 / ( x 4) 4. f ( x ) = 1 / ( x + 3) 5. f ( x ) = 2 / ( x 5) 6. f ( x ) = 3 / ( x + 6) 7. f ( x ) = 1 /x 2 8. f ( x ) = 1 /x + 4 9. f ( x ) = 2 /x 5 10. f ( x ) = 3 /x 5 11. f ( x ) = 1 / ( x 2) 3 Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 12. f ( x ) = 1 / ( x + 1) + 5 13. f ( x ) = 2 / ( x 3) 4 14. f ( x ) = 3 / ( x + 5) 2 In Exercises 15 - 22
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