Chap2 Section4

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

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Section 2.4 Solving Equations and Inequalities by Graphing 153 Version: Fall 2007 2.4 Exercises In Exercises 1 - 6 , you are given the de- finition of two functions f and g . Com- pare the functions, as in Example 1 of the narrative, at the given values of x . 1. f ( x ) = x +2, g ( x ) = 4 x at x = 3, 1, and 2. 2. f ( x ) = 2 x 3, g ( x ) = 3 x at x = 4, 2, and 5. 3. f ( x ) = 3 x , g ( x ) = x +9 at x = 4, 3, and 2. 4. f ( x ) = x 2 , g ( x ) = 4 x +5 at x = 2, 1, and 6. 5. f ( x ) = x 2 , g ( x ) = 3 x 2 at x = 3, 1, and 0. 6. f ( x ) = | x | , g ( x ) = 4 x at x = 1, 2, and 3. In Exercises 7 - 12 , perform each of the following tasks. Remember to use a ruler to draw all lines. i. Make an accurate copy of the image on graph paper (label each equation, label and scale each axis), drop a dashed vertical line through the point of in- tersection, then label and shade the solution of f ( x ) = g ( x ) on the x -axis. ii. Make a second copy of the image on graph paper, drop a dashed, vertical line through the point of intersection, then label and shade the solution of f ( x ) > g ( x ) on the x -axis. Use set- builder and interval notation to de- scribe your solution set. iii. Make a third copy of the image on Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 graph paper, drop a dashed, vertical line through the point of intersection, then label and shade the solution of f ( x ) < g ( x ) on the x -axis. Use set- builder and interval notation to de- scribe your solution set. 7. x 5 y 5 f g 8. x 5 y 5 f g
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154 Chapter 2 Functions Version: Fall 2007 9. x 5 y 5 f g 10. x 5 y 5 f g 11. x 5 y 5 f g 12. x 5 y 5 f g In Exercises 13 - 16 , perform each of the following tasks. Remember to use a ruler to draw all lines. i. Make an accurate copy of the image on graph paper, drop dashed, verti- cal lines through the points of inter- section, then label and shade the so- lution of f ( x ) g ( x ) on the x -axis. Use set-builder and interval notation to describe your solution set. ii. Make a second copy of the image on graph paper, drop dashed, vertical lines through the points of intersection, then label and shade the solution of f ( x ) < g ( x ) on the x -axis. Use set-builder and interval notation to describe your solution set.
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Section 2.4 Solving Equations and Inequalities by Graphing 155 Version: Fall 2007 13. x 5 y 5 f g 14. x 5 y 5 f g 15. x 5 y 5 f g 16. x 5 y 5 f g In Exercises 17 - 20 , perform each of the following tasks. Remember to use a ruler to draw all lines. i. Load each side of the equation into
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Chap2 Section4 - Section 2.4 Solving Equations and Inequalities by Graphing 153 2.4 Exercises In Exercises 1-6 you are given the definition of two

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