1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 1 Homework, Page 269 Chapter Review Write an equation for the linear function f satisfying the given conditions. Graph y = f (x). 1.

2. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 2 Homework, Page 269 Chapter Review Find the vertex and axis of the graph of the function. Support graphically. 5.

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 3 Homework, Page 269 Chapter Review Write an equation for the quadratic function whose graph contains the given vertex and point. 9.

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 4 Homework, Page 269 Chapter Review Graph the function in a viewing window that shows all of its extrema and x-intercepts. 13

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 5 Homework, Page 269 Chapter Review Write the statement as a power function equation. Let k be the constant of variation 17. The surface area of a sphere varies directly as the square of the radius.

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 6 Homework, Page 269 Chapter Review Write the values of the constants k and a for a function y = k·x a. Describe the curve that lies in Quadrant I or IV. Determine whether f is even, odd, or undefined for x < 0. Describe the rest of the curve, if any. Graph the function to see whether it matches the description. 21.

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 7 Homework, Page 269 Chapter Review Divide f (x) by d (x), and write a summary statement in polynomial form. 25.

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 8 Homework, Page 269 Chapter Review Use the Remainder Theorem to find the remainder when f (x) is divided by x – k. Check by using synthetic division. 29.

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 9 Homework, Page 269 Chapter Review Use synthetic division to prove that the number k is an upper bound for the real zeros of the function f. 33. Since the quotient is all nonnegative numbers, 5 is an upper limit of the function.

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 10 Homework, Page 269 Chapter Review Use the Rational Zero Theorem to write a list of all potential rational zeros. Then determine which, if any, are. 37.

11. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 11 Homework, Page 269 Chapter Review Perform the indicated operation and write the result in the form a + bi. 41.

12. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 12 Homework, Page 269 Chapter Review Match the polynomial function with the graph. Explain your answer. 45. c. The function and the graph match because the function has a zero at x = 2 and the graph does not cross the x-axis at that point. Graph b is eliminated because it’s y-intercept is too great.

13. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 13 Homework, Page 269 Chapter Review Find all of the real zeros of the function, finding exact values whenever possible. Identify each zero as rational or irrational. State the number of nonreal complex zeros. 49.

14. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 14 Homework, Page 269 Chapter Review Find all of the zeros and write a linear factorization of the function. 53.

15. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 15 Homework, Page 269 Chapter Review Write the function as a product of linear and irreducible quadratic factors, all with real coefficients. 57.

16. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 16 Homework, Page 269 Chapter Review Write a polynomial function with real coefficients whose zeros and their multiplicities include those listed.. 61.

17. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 17 Homework, Page 269 Chapter Review Write a polynomial function with real coefficients whose zeros and their multiplicities include those listed. 65.

18. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 18 Homework, Page 269 Chapter Review Find the asymptotes and intercepts of the function and graph it. 69.

19. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 19 Homework, Page 269 Chapter Review Find the intercepts and analyze and graph the rational function. 73.

20. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 20 Homework, Page 269 Chapter Review Solve the equation algebraically and support graphically. 77.

21. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 21 Homework, Page 269 Chapter Review Solve the equation algebraically and support graphically. 77.

22. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 22 Homework, Page 269 Chapter Review Solve the equation algebraically and support graphically. 81.

23. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 23 Homework, Page 269 Chapter Review 85. Villareal Paper Co. has contracted to manufacture a box with no top that is to be made by removing squares of width x from the corners of a 30-in by 70-in piece of cardboard. a. Find an equation that models the volume of the box. b. Determine x so that the box has volume 5800 in 3.

24. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 24 Homework, Page 269 Chapter Review 85. a. Find an equation that models the volume of the box. b. Determine x so that the box has volume 5800 in 3.

25. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 25 Homework, Page 269 Chapter Review 89. The table shows the spending at NIH for several years. Let x = 0 represent 1990, etc. YearAmt (10 9 )YearAmt (10 9 ) 199310.3199813.6 199411.0199915.6 199511.3200017.9 199611.9200120.5 199712.7200223.6

26. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 26 Homework, Page 269 Chapter Review 89. a. Find a linear regression model, and graph it together with a scatter plot of the data.

27. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 27 Homework, Page 269 Chapter Review 89. b. Find a quadratic regression model and graph it with a scatter plot of the data.

28. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 28 Homework, Page 269 Chapter Review 89. c. Use the linear and quadratic models to estimate when the amount of spending will exceed $30-billion annually. By the linear model, the spending level reaches $30-billion in the 19 th year (2009). By the quadratic model, it reaches the $30-billion in the 14 th year (2004).

29. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 29 Homework, Page 269 Chapter Review 93. Suppose x ounces of distilled water are added to 50 oz of pure acid. a. Express the concentration C (x) of the new mixture as a function of x. b. Use a graph to determine how much distilled water should be added to the pure acid to produce a new solution that is less than 60% acid. c. Solve (b) algebraically.

30. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 30 Homework, Page 269 Chapter Review 93. a. Express the concentration C (x) of the new mixture as a function of x.

31. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 31 Homework, Page 269 Chapter Review 93. b. Use a graph to determine how much distilled water should be added to the pure acid to produce a new solution that is less than 60% acid.

32. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 32 Homework, Page 269 Chapter Review 93. c. Solve (b) algebraically.

33. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 33 Chapter Test

34. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 34 Chapter Test

35. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 35 Chapter Test

36. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 36 Chapter Test Solutions

37. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 37 Chapter Test Solutions

38. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 38 Chapter Test Solutions