Chap9 Section5

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

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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.
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