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 Describe how to transform the graph of f (x) = x 2 into the graph of the function. Sketch the graph by hand and support with grapher. 3. a)Apply vertical stretch by a factor of 4 b)Translate right 2 units c)Translate up 4 units

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 3 Homework, Page 269 Chapter Review Find the vertex and axis of the graph of the function. Support graphically. 5.

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 4 Homework, Page 269 Chapter Review Find the vertex and axis of the graph of the function. Support graphically. 7.

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 5 Homework, Page 269 Chapter Review Write an equation for the quadratic function whose graph contains the given vertex and point. 9.

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Homework, Page 269 Chapter Review Write an equation for the quadratic function with graph shown. 11. Slide 2- 6

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 7 Homework, Page 269 Chapter Review Graph the function in a viewing window that shows all of its extrema and x-intercepts. 13

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 8 Homework, Page 269 Chapter Review Graph the function in a viewing window that shows all of its extrema and x-intercepts. 15.

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 9 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.

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 10 Homework, Page 269 Chapter Review Write a sentence that expresses the relationship in the formula. 19. F = kx, where F is the force it takes to stretch a spring x units from its unstressed length and k is the spring’s force constant. The force necessary to stretch a spring is directly proportional to the distance the spring is stretched.

11. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 11 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.

12. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 12 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. 23.

13. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 13 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.

14. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 14 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.

15. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 15 Homework, Page 269 Chapter Review 87.A tank on a truck is in the shape of a cylinder with hemispheres on each end. The cylinder and hemispheres have the same radius and the total length of the 140 ft. a).Determine the volume V of the tank as a function of radius x. b).Graph the function y = V(x). c.)What is the radius of the container with the largest possible volume? What is the volume?

16. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 16 Homework, Page 269 Chapter Review 87.a).Determine the volume V of the tank as a function of radius x. b).Graph the function y = V(x).

17. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 17 Homework, Page 269 Chapter Review 87.c.)What is the radius of the container with the largest possible volume? What is the volume? The radius with the largest possible volume is 70 ft which yields a volume of 1.437 x 10 6 ft 3.

18. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 18 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

19. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 19 Homework, Page 269 Chapter Review 89. a. Find a linear regression model, and graph it together with a scatter plot of the data.

20. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 20 Homework, Page 269 Chapter Review 89. b. Find a quadratic regression model and graph it with a scatter plot of the data.

21. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 2- 21 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).