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**Unformatted text preview: **Section 9.5 Radical Equations 955 Version: Fall 2007 9.5 Exercises For the rational functions in Exercises 1- 6 , perform each of the following tasks. i. Load the function f and the line y = k into your graphing calculator. Ad- just the viewing window so that all point(s) of intersection of the two graphs are visible in your viewing window. ii. Copy the image in your viewing win- dow onto your homework paper. La- bel and scale each axis with xmin, xmax, ymin, and ymax. Label the graphs with their equations. Remem- ber to draw all lines with a ruler. iii. Use the intersect utility to deter- mine the coordinates of the point(s) of intersection. Plot the point of in- tersection on your homework paper and label it with its coordinates. iv. Solve the equation f ( x ) = k alge- braically. Place your work and so- lution next to your graph. Do the solutions agree? 1. f ( x ) = √ x + 3, k = 2 2. f ( x ) = √ 4 − x , k = 3 3. f ( x ) = √ 7 − 2 x , k = 4 4. f ( x ) = √ 3 x + 5, k = 5 5. f ( x ) = √ 5 + x , k = 4 6. f ( x ) = √ 4 − x , k = 5 In Exercises 7- 12 , use an algebraic tech- nique to solve the given equation. Check your solutions. 7. √ − 5 x + 5 = 2 Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 8. √ 4 x + 6 = 7 9. √ 6 x − 8 = 8 10. √ 2 x + 4 = 2 11. √ − 3 x + 1 = 3 12. √ 4 x + 7 = 3 For the rational functions in Exercises 13- 16 , perform each of the following tasks. i. Load the function f and the line y = k into your graphing calculator. Ad- just the viewing window so that all point(s) of intersection of the two graphs are visible in your viewing window. ii. Copy the image in your viewing win- dow onto your homework paper. La- bel and scale each axis with xmin, xmax, ymin, and ymax. Label the graphs with their equations. Remem- ber to draw all lines with a ruler. iii. Use the intersect utility to deter- mine the coordinates of the point(s) of intersection. Plot the point of in- tersection on your homework paper and label it with its coordinates. iv. Solve the equation f ( x ) = k alge- braically. Place your work and so- lution next to your graph. Do the solutions agree? 13. f ( x ) = √ x + 3 + x , k = 9 14. f ( x ) = √ x + 6 − x , k = 4 15. f ( x ) = √ x − 5 − x , k = − 7 16. f ( x ) = √ x + 5 + x , k = 7 956 Chapter 9 Radical Functions Version: Fall 2007 In Exercises 17- 24 , use an algebraic tech- nique to solve the given equation. Check your solutions. 17. √ x + 1 + x = 5 18. √ x + 8 − x = 8 19. √ x + 4 + x = 8 20. √ x + 8 − x = 2 21. √ x + 5 − x = 3 22. √ x + 5 + x = 7 23....

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