Chap5 Section3

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

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• davidvictor
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Section 5.3 Zeros of the Quadratic 473 Version: Fall 2007 5.3 Exercises In Exercises 1 - 8 , factor the given qua- dratic polynomial. 1. x 2 + 9 x + 14 2. x 2 + 6 x + 5 3. x 2 + 10 x + 9 4. x 2 + 4 x 21 5. x 2 4 x 5 6. x 2 + 7 x 8 7. x 2 7 x + 12 8. x 2 + 5 x 24 In Exercises 9 - 16 , find the zeros of the given quadratic function. 9. f ( x ) = x 2 2 x 15 10. f ( x ) = x 2 + 4 x 32 11. f ( x ) = x 2 + 10 x 39 12. f ( x ) = x 2 + 4 x 45 13. f ( x ) = x 2 14 x + 40 14. f ( x ) = x 2 5 x 14 15. f ( x ) = x 2 + 9 x 36 16. f ( x ) = x 2 + 11 x 26 Copyrighted material. See: 1 In Exercises 17 - 22 , perform each of the following tasks for the quadratic func- tions. i. Load the function into Y1 of the Y= of your graphing calculator. Adjust the window parameters so that the vertex is visible in the viewing window. ii. Set up a coordinate system on your homework paper. Label and scale each axis with xmin, xmax, ymin, and ymax. Make a reasonable copy of the image in the viewing window of your calcu- lator on this coordinate system and label it with its equation. iii. Use the zero utility on your graph- ing calculator to find the zeros of the function. Use these results to plot the x -intercepts on your coordinate system and label them with their co- ordinates. iv. Use a strictly algebraic technique (no calculator) to find the zeros of the given quadratic function. Show your work next to your coordinate system. Be stubborn! Work the problem until your algebraic and graphically zeros are a reasonable match. 17. f ( x ) = x 2 + 5 x 14 18. f ( x ) = x 2 + x 20 19. f ( x ) = x 2 + 3 x + 18 20. f ( x ) = x 2 + 3 x + 40 21. f ( x ) = x 2 16 x 36 22. f ( x ) = x 2 + 4 x 96

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474 Chapter 5 Quadratic Functions Version: Fall 2007 In Exercises 23 - 30 , perform each of the following tasks for the given quadratic function. i. Set up a coordinate system on graph paper. Label and scale each axis. Re- member to draw all lines with a ruler.
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