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Homework, Page 269 Chapter Review

Homework, Page 269 Chapter Review. Write an equation for the linear function f satisfying the given conditions. Graph y = f ( x ). 1. Homework, Page 269 Chapter Review. Find the vertex and axis of the graph of the function. Support graphically. 5. Homework, Page 269 Chapter Review.

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Homework, Page 269 Chapter Review

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  1. Homework, Page 269Chapter Review Write an equation for the linear function f satisfying the given conditions. Graph y = f (x). 1.

  2. Homework, Page 269Chapter Review Find the vertex and axis of the graph of the function. Support graphically. 5.

  3. Homework, Page 269Chapter Review Write an equation for the quadratic function whose graph contains the given vertex and point. 9.

  4. Homework, Page 269Chapter Review Graph the function in a viewing window that shows all of its extrema and x-intercepts. 13

  5. Homework, Page 269Chapter 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. Homework, Page 269Chapter Review Write the values of the constants k and a for a function y = k·xa. 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. Homework, Page 269Chapter Review Divide f (x) by d (x), and write a summary statement in polynomial form. 25.

  8. Homework, Page 269Chapter Review Use the Remainder Theorem to find the remainder when f (x) is divided by x – k. Check by using synthetic division. 29.

  9. Homework, Page 269Chapter 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. Homework, Page 269Chapter Review Use the Rational Zero Theorem to write a list of all potential rational zeros. Then determine which, if any, are. 37.

  11. Homework, Page 269Chapter Review Perform the indicated operation and write the result in the form a + bi. 41.

  12. Homework, Page 269Chapter 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. Homework, Page 269Chapter 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. Homework, Page 269Chapter Review Find all of the zeros and write a linear factorization of the function. 53.

  15. Homework, Page 269Chapter Review Write the function as a product of linear and irreducible quadratic factors, all with real coefficients. 57.

  16. Homework, Page 269Chapter Review Write a polynomial function with real coefficients whose zeros and their multiplicities include those listed.. 61.

  17. Homework, Page 269Chapter Review Write a polynomial function with real coefficients whose zeros and their multiplicities include those listed. 65.

  18. Homework, Page 269Chapter Review Find the asymptotes and intercepts of the function and graph it. 69.

  19. Homework, Page 269Chapter Review Find the intercepts and analyze and graph the rational function. 73.

  20. Homework, Page 269Chapter Review Solve the equation algebraically and support graphically. 77.

  21. Homework, Page 269Chapter Review Solve the equation algebraically and support graphically. 77.

  22. Homework, Page 269Chapter Review Solve the equation algebraically and support graphically. 81.

  23. Homework, Page 269Chapter 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 in3.

  24. Homework, Page 269Chapter Review 85. a. Find an equation that models the volume of the box. b. Determine x so that the box has volume 5800 in3.

  25. Homework, Page 269Chapter Review 89. The table shows the spending at NIH for several years. Let x = 0 represent 1990, etc.

  26. Homework, Page 269Chapter Review 89. a. Find a linear regression model, and graph it together with a scatter plot of the data.

  27. Homework, Page 269Chapter Review 89. b. Find a quadratic regression model and graph it with a scatter plot of the data.

  28. Homework, Page 269Chapter 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 19th year (2009). By the quadratic model, it reaches the $30-billion in the 14th year (2004).

  29. Homework, Page 269Chapter 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. Homework, Page 269Chapter Review 93. a. Express the concentration C (x) of the new mixture as a function of x.

  31. Homework, Page 269Chapter 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. Homework, Page 269Chapter Review 93. c. Solve (b) algebraically.

  33. Chapter Test

  34. Chapter Test

  35. Chapter Test

  36. Chapter Test Solutions

  37. Chapter Test Solutions

  38. Chapter Test Solutions

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