Chapter 7 (Section 7.1) from the textbook is the following: Textbook is Blitzer, thinking mathematically, Eight Edition. Section 7.1 (Page 424, Textbook): 5,11,15,21,23,25,27,29,31,33,35,37,39,41,43

Safari File Edit View History Bookmarks Window Help C X 54% Thu Dec 8 3:41 PM . . G plus.pearson.com + 188 Page 424 Dashboard b Write edit | bartleby English 1301 final - Google Docs CHAPTER 7: Algebra: Graphs, Functions, and Linear Systems KH 424 Chapter 7 Algebra: Graphs, Functions, and Linear Systems Exercise Set 7.1 Practice Exercises In Exercises 1-20, plot the given point in a rectangular coordinate system. 1. (1, 4 ) 2. (2, 5) 49. f (x) = x - 1 50. f (x) = x+1 Q 3. (-2, 3) 4. (-1, 4) x f (x) = x-1 x f ( x ) = x+1 5 . ( - 3 , -5) 6. (-4, -2) -2 -2 7. (4, -1) 8. (3, -2) -1 -1 9. (-4, 0) 10. (-5, 0) 8 0 11. (0, -3) 12. (0, -4) 1 13. (0, 0) 14. (-3, -14) 2 N 15. (-2, -34 ) 16. (-5, -2.5) 17. (3.5, 4.5) 18. (2.5, 3.5) 51. f (x) = (x - 2)2 52. f (x) = (x+ 1)2 19. (1.25, -3.25) 20. (2.25, -4.25) * f ( x ) = (x-2)2 * f ( x ) = (x+ 1 ) 2 Graph each equation in Exercises 21-32. Select integers for x from 0 -3 AA -3 to 3, inclusive. 1 -2 21. y = x2 - 2 22. y = x2 + 2 2 23. y = x - 2 24. y = x+2 3 25. y = 2x + 1 26. y = 2x - 4 A 27. y = -2x 28. y = -zx+ 2 53. f(x) = x3+1 54. f(x) = (x+1)3 4 29. y = x3 30. y = x3 - 1 f ( x ) = x3 + 1 f ( x ) = (x+ 1)3 31. y = Ixl + 1 32. y = 1x1 - 1 x In Exercises 33-46, evaluate each function at the given value of the -3 variable. -2 -2 astv 33. f (x) = x -4 a. f(8) b. f(1) -1 34. f ( x) = x -6 a. f(9) b. f ( 2) 0 35. f (x) = 3x - 2 a. f(7) b. f(0) 36. f (x) = 4x - 3 a. f(7) b. f(0) For Exercises 55-62, use the vertical line test to identify graphs in 37. 8(x) = x2 + 1 a. g(2) b. g(-2) which y is a function of x. 38. 8(x) = x2 + 4 a. g(3) b. g(-3) 55. 56. 39. 8(x) = -x2 + 2 a. g(4) b. 8(-3) 40. g(x) = -x2 +1 a. g(5) b. 8(-4) 41. h(r) = 32 + 5 a. h( 4) b. h(-1) X 424Safari File Edit View History Bookmarks Window Help C X 54% Thu Dec 8 3:41 PM . . G plus.pearson.com + 188 Page 424 Dashboard b Write edit | bartleby English 1301 final - Google Docs CHAPTER 7: Algebra: Graphs, Functions, and Linear Systems KH Graph each equation in Exercises 2 -3 to 3, inclusive. - 2 21. y = x2 - 2 22. y = x2 + 2 2 23. y = x - 2 24. y = x+ 2 25. y = 2x + 1 26. y = 2x - 4 A L 27. y = -zx 28. y = -zx+ 2 53. f (x) = x3+1 54. f (x) = (x+ 1)3 29. y = x3 30. y = x3 - 1 31. y = Ixl + 1 32. y = 1x1 - 1 * f ( x ) = x3+ 1 * f (x ) = (x+1)3 - 3 In Exercises 33-46, evaluate each function at the given value of the -3 -2 -2 Q variable. 33. f(x) = x - 4 a. f(8) b. f(1) -1 -1 34. f ( x ) = x - 6 a. f(9) b. f(2) - 35. f (x) = 3x - 2 a. f(7) b. f(0) 8 36. f (x) = 4x - 3 a. f(7) b. f(0) For Exercises 55-62, use the vertical line test to identify graphs in 37. 8(x) = x2 + 1 a. g(2) b. 8(-2) which y is a function of x. 38. g(x) = x2 + 4 a. g(3) b. g(-3) 55. 56. 39. g(x) = -x2 + 2 a. g(4) b. g(-3) 40. g(x) = -x2 + 1 a. g(5) b. g(-4) 41. h(r) = 3r2 + 5 a. h(4) b. h(-1) 42. h(r) = 2r2 - 4 a. h(5) b. h(-1) AA 43. f (x) = 2x2 + 3x - 1 a. f(3) b. f(-4) 44. f(x) = 3x2 +4x - 2 a. f(2) b. f(-1) 57. 58. 45. f (x) = 1 x 1 a. f (6) b. f(-6) 4 46. f (x) = a. f(5) b. f ( -5) In Exercises 47-54, evaluate f (x) for the given values of x. Then use the ordered pairs (x, f (x)) from your table to graph the function. 47. f (x) = x2 - 1 48. f(x) = x2+ 1 astv x f ( x ) = x2 - 1 * f ( x ) = x2+1 59. 60. -2 - 2 1-1 -1 0 0 D 1 1 2 2 X 424Safari File Edit View History Bookmarks Window Help C X 54% Q 8 0 Thu Dec 8 3:42 PM . . G plus.pearson.com + 188 Page 437 Dashboard b Write edit | bartleby English 1301 final - Google Docs CHAPTER 7: Algebra: Graphs, Functions, and Linear Systems KH Exercise Set 7.2 Practice Exercises In Exercises 33-40, In Exercises 1-8, use the x- and y-intercepts to graph each linear a. Put the equation in slope-intercept form by solving for y. equation. b. Identify the slope and the y-intercept. c. Use the slope and y-intercept to graph the line. (o> 1. x - y = 3 2. xty = 4 33. 3x + y = 0 34. 2x + y = 0 3. 3x - 4y = 12 4. 2x - 5y = 10 35. 3y = 4x 36. 4y = 5x Q 5. 2x + y = 6 6. x + 3y = 6 37. 2x + y = 3 38. 3x + y = 4 7. 5x = 3y - 15 8. 3x = 2y + 6 39. 7x + 2y = 14 40. 5x + 3y = 15 In Exercises 9-20, calculate the slope of the line passing through the given points. If the slope is undefined, so state. Then indicate In Exercises 41-48, graph each horizontal or vertical line. 8 whether the line rises, falls, is horizontal, or is vertical. 41. y = 4 42. y = 2 9. (2, 6) and (3, 5) 43. y = -2 44. y = -3 10. (4, 2) and (3, 4) 45. x = 2 46. x = 4 11. (-2, 1) and (2, 2) 47. x + 1 = 0 48. x + 5 = 0 12. (-1, 3) and (2, 4) 13. (-2, 4) and (-1, -1) Practice PLUS In Exercises 49-52, find the slope of the line passing through each AA 14. (6, -4) and (4, -2) pair of points or state that the slope is undefined. Assume that all 15. (5, 3) and (5, -2) variables represent positive real numbers. Then indicate whether 16. (3, -4) and (3, 5) the line through the points rises, falls, is horizontal, or is vertical. 17. (2, 0) and (0, 8) 49. (0, a) and (b, 0) 18. (3, 0) and (0, -9) 50. (-a, 0) and (0, -b) 4 19. (5, 1) and (-2, 1) 51. (a, b) and (a, b + c) 20. (-2, 3) and (1, 3) 52. (a - b, c) and (a, a + c) In Exercises 21-32, graph each linear function using the slope and In Exercises 53-54, find the slope and y-intercept of each line whose equation is given. Assume that B + 0. astv y-intercept. 21. y = 2x + 3 22. y = 2x + 1 53. Ax + By = C 23. y = -2x + 4 24. y = - 2x + 3 54. Ax = By - C 25. y = kx + 3 26. y = Ex + 2 In Exercises 55-56, find the value of y if the line through the two 27. f (x) = 3x - 4 28. f (x) = 2x - 5 given points is to have the indicated slope. 29. y = - 3x +4 30. y = -3x +5 55. (3, y) and (1, 4), m = -3 31. f (x) = -3x 32. f (x) = -4x 56. (-2, y) and (4, -4), m = } X 437Safari File Edit View History Bookmarks Window Help C X 54% Q 8 0 Thu Dec 8 3:42 PM . . the first equation by 2 and the second equation by point of intersection of these graphs is called the and then adding the equations. company's Q Exercise Set 7.3 8 Practice Exercises In Exercises 13-24, solve each system by the substitution method. In Exercises 1-4, determine whether the given ordered pair is a Be sure to check all proposed solutions. solution of the system. 13. xty = 4 1. (2, 3) 14. xty = 6 2. (-3, 5) y = 3x y = 2x x + 3y = 11 9 x + 7y = 8 x - 5y = -13 8x - 9y = -69 15. x + 3y = 8 16. 2x - 3y = -13 y = 2x - 9 [y = 2x + 7 3. (2, 5) 4. (8, 5) AA [3x + 3y = 17 5x - 4y = 20 17. x + 3y = 5 18. y = 3x - 17 x + 4y = 16 3y = 2x + 1 4x + 5y = 13 2x - y = 11 In Exercises 5-12, solve each system by graphing. Check the 2 x - y = -5 19. 20 2x + 3y = 11 coordinates of the intersection point in both equations. x + 5y =14 x - 4y = 0 4 5 . x ty =6 Jxty = 2 x - y = 2 21. 2x - y = 3 -x + 3y =10 x - y = 4 5x - 2y = 10 22. 2 x + 8y = -6 7. 2x - 3y = 6 8. 4x + y = 4 23. x + 8y = 6 4x + 3y = 12 2 x + 4y = -3 24. -4x + y=-11 3x - y = 3 2x - 3y = 5 astv 9. y = x +5 10. Jy = x + 1 In Exercises 25-36, solve each system by the addition method. y =-x+3 y = 3x - 1 Be sure to check all proposed solutions 11. y = -x - 1 12. y = 3x - 4 25. xty =1 xty = 6 4x - 3y = 24 2x + y = 1 x - y = 3 26. x - y =-2 27. 2 x + 3y = 6 28. 3x + 2y = 14 2x - 3y = 6 3x - 2y = 10 X 451Safari File Edit View History Bookmarks Window Help X 50% Thu Dec 8 3:57 PM . . G plus.pearson.com + 88 Page 452 Search Results | Course Hero Google Docs: Online Document Editor | Google Work.. Untitled document - Google Docs CHAPTER 7: Algebra: Graphs, Functions, and Linear Systems KH 452 Chapter 7 Algebra: Graphs, Functions, and Linear Systems 45. Write the linear system whose solution set is { (6, 2) }. Express 29. x+ 2y = 2 -4x + 3y = 25 each equation in the system in slope-intercept form. 46. Write the linear system whose solution set is O. Express each (o> equation in the system in slope-intercept form. 30. 2x - 7y = 2 3x+ y =-20 In Exercises 47-48, solve each system for x and y, expressing either Q value in terms of a or b, if necessary. Assume that a # 0 and b # 0. 31. 4x + 3y = 15 2x - 5y = 1 47. 5ax + 4y = 17 ax + 7y = 22 8 32. [3x - 7y = 13 6x + 5y = 7 [ 4ax + by = 3 48. 6ax + 5by = 8 33. 3x - 4y = 11 2x + 3y =-4 49. For the linear function f(x) = mx + b, f(-2) = 11 and f(3) = -9. Find m and b. 50. For the linear function f (x) = mx + b, f(-3) = 23 and 34. 2x + 3y = -16 f(2) = -7. Find m and b. 5x - 10y = 30 AA 35. 2x = 3y - 4 Application Exercises -6x + 12y = 6 Making a Profit The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells 36. 5x = 4y - 8 external hard drives. Use the information in the figure to solve 4 3x + 7y = 14 Exercises 51-56. In Exercises 37-44, solve by the method of your choice. Identify systems with no solution and systems with infinitely many 35,000 astv solutions, using set notation to express their solution sets. 30,000 C(x) = 10,000 + 30x 37. x = 9 - 2y 6x + 2y = 7 25,000 20,000 x + 2y = 13 38. y = 2 - 3x 15,000 10,000 R(x) = 50x 39. y = 3x - 5 40. 9x - 3y = 12 5000 - 21x - 35 = 7y y = 3x - 4 100 200 300 400 500 600 700 * x 3x - 2y = -5 2x + 5y = -4 Hard Drives Produced and Sold 41. 4x+ y = 8 42. 3x - y = 11 51. How many hard drives must be produced and sold for the X 452