1 Foundations 2 Solving Linear Equations 3 Graphs And Functions 4 Systems Of Linear Equations 5 Polynomials And Polynomial Functions 6 Factoring 7 Rational Expressions And Functions 8 Roots And Radicals 9 Quadratic Equations And Functions 10 Exponential And Logarithmic Functions 11 Conics 12 Sequences, Series And Binomial Theorem Chapter3: Graphs And Functions
3.1 Graph Linear Equations In Two Variables 3.2 Slope Of A Line 3.3 Find The Equation Of A Line 3.4 Graph Linear Inequalities In Two Variables 3.5 Relations And Functions 3.6 Graphs Of Functions Chapter Questions Section3.1: Graph Linear Equations In Two Variables
Problem 3.1TI: Plot each point in a rectangular coordinate system and identify the quadrant in which the point is... Problem 3.2TI: Plot each point in a rectangular coordinate system and identify the quadrant in which the point is... Problem 3.3TI: Use graph of y=3x1 . For each ordered pair, decide: (a) Is the ordered pair a solution to the... Problem 3.4TI: Use graph of y=3x1 . For each ordered pair, decide: (a) Is the ordered pair a solution to the... Problem 3.5TI: Graph the equation by plotting points: y=2x3 . Problem 3.6TI: Graph the equation by plotting points: y=2x+4 . Problem 3.7TI: Graph the equation: y=13x1 . Problem 3.8TI: Graph the equation: y=14x+2 . Problem 3.9TI: Graph the equations: (a) x=5 (b) y=4 . Problem 3.10TI: Graph the equations: (a) x=2 (b) y=3 Problem 3.11TI: Graph the equations in the same rectangular coordinate system: y=4x and y=4 . Problem 3.12TI: Graph the equations in the same rectangular coordinate system: y=3 and y=3x . Problem 3.13TI: Find the x- and y-intercepts on the graph. Problem 3.14TI: Find the x- and y-intercepts on the graph. Problem 3.15TI: Find the intercepts: 3x+y=12 . Problem 3.16TI: Find the intercepts: x+4y=8 . Problem 3.17TI: Graph using the intercepts: x2y=4 . Problem 3.18TI: Graph using the intercepts: x+3y=6 . Problem 3.19TI: Graph using the intercepts: 5x2y=10 . Problem 3.20TI: Graph using the intercepts: 3x4y=12 . Problem 3.21TI: Graph using the intercepts: y=4x . Problem 3.22TI: Graph the intercepts: y=x . Problem 1E: In the following exercises, plot each point in a rectangular coordinate system and identify the... Problem 2E: In the following exercises, plot each point in a rectangular coordinate system and identify the... Problem 3E: In the following exercises, plot each point in a rectangular coordinate system and identify the... Problem 4E: In the following exercises, plot each point in a rectangular coordinate system and identify the... Problem 5E: In the following exercises, for each ordered pair, decide (a) is the ordered pair a solution to the... Problem 6E: In the following exercises, for each ordered pair, decide (a) is the ordered pair a solution to the... Problem 7E: In the following exercises, for each ordered pair, decide (a) is the ordered pair a solution to the... Problem 8E: In the following exercises, for each ordered pair, decide (a) is the ordered pair a solution to the... Problem 9E: In the following exercises, graph by plotting points. 9. y=x+2 Problem 10E: In the following exercises, graph by plotting points. 10. y=x3 Problem 11E: In the following exercises, graph by plotting points. 11. y=3x1 Problem 12E: In the following exercises, graph by plotting points. 12. y=2x+2 Problem 13E: In the following exercises, graph by plotting points. 13. y=x3 Problem 14E: In the following exercises, graph by plotting points. 14. y=x2 Problem 15E: In the following exercises, graph by plotting points. 15. y=2x Problem 16E: In the following exercises, graph by plotting points. 16. y=2x Problem 17E: In the following exercises, graph by plotting points. 17. y=12x+2 Problem 18E: In the following exercises, graph by plotting points. 18. y=13x1 Problem 19E: In the following exercises, graph by plotting points. 19. y=43x5 Problem 20E: In the following exercises, graph by plotting points. 20. y=32x3 Problem 21E: In the following exercises, graph by plotting points. 21. y=25x+1 Problem 22E: In the following exercises, graph by plotting points. 22. y=45x1 Problem 23E: In the following exercises, graph by plotting points. 23. y=32x+2 Problem 24E: In the following exercises, graph by plotting points. 24. y=53x+4 Problem 25E: In the following exercises, graph each equation. 25. (a) x=4 (b) y=3 Problem 26E: In the following exercises, graph each equation. 26. (a) x=3 (b) y=1 Problem 27E: In the following exercises, graph each equation. 27. (a) x=2 (b) y=5 Problem 28E: In the following exercises, graph each equation. 28. (a) x=5 (b) y=2 Problem 29E: In the following exercises, graph each pair of equations in the same rectangular coordinate system.... Problem 30E: In the following exercises, graph each pair of equations in the same rectangular coordinate system.... Problem 31E: In the following exercises, graph each pair of equations in the same rectangular coordinate system.... Problem 32E: In the following exercises, graph each pair of equations in the same rectangular coordinate system.... Problem 33E: In the following exercises, find the x- and y-intercepts on each graph. 33. Problem 34E: In the following exercises, find the x- and y-intercepts on each graph. 34. Problem 35E: In the following exercises, find the x- and y-intercepts on each graph. 35. Problem 36E: In the following exercises, find the x- and y-intercepts on each graph. 36. Problem 37E: In the following exercises, find the intercepts for each equation. 37. xy=5 Problem 38E: In the following exercises, find the intercepts for each equation. 38. xy=4 Problem 39E: In the following exercises, find the intercepts for each equation. 39. 3x+y=6 Problem 40E: In the following exercises, find the intercepts for each equation. 40. x2y=8 Problem 41E: In the following exercises, find the intercepts for each equation. 41. 4xy=8 Problem 42E: In the following exercises, find the intercepts for each equation. 42. 5xy=5 Problem 43E: In the following exercises, find the intercepts for each equation. 43. 2x+5y=10 Problem 44E: In the following exercises, find the intercepts for each equation. 44. 3x2y=12 Problem 45E: In the following exercises, graph using the intercepts. 45. x+4y=8 Problem 46E: In the following exercises, graph using the intercepts. 46. x+2y=4 Problem 47E: In the following exercises, graph using the intercepts. 47. x+y=3 Problem 48E: In the following exercises, graph using the intercepts. 48. xy=4 Problem 49E: In the following exercises, graph using the intercepts. 49. 4x+y=4 Problem 50E: In the following exercises, graph using the intercepts. 50. 3x+y=3 Problem 51E: In the following exercises, graph using the intercepts. 51. 3xy=6 Problem 52E: In the following exercises, graph using the intercepts. 52. 2xy=8 Problem 53E: In the following exercises, graph using the intercepts. 53. 2x+4y=12 Problem 54E: In the following exercises, graph using the intercepts. 54. 3x2y=6 Problem 55E: In the following exercises, graph using the intercepts. 55. 2x5y=20 Problem 56E: In the following exercises, graph using the intercepts. 56. 3x4y=12 Problem 57E: In the following exercises, graph using the intercepts. 57. y=2x Problem 58E: In the following exercises, graph using the intercepts. 58. y=5x Problem 59E: In the following exercises, graph using the intercepts. 59. y=x Problem 60E: In the following exercises, graph using the intercepts. 60. y=x Problem 61E: In the following exercises, graph each equation. 61. y=32x Problem 62E: In the following exercises, graph each equation. 62. y=23x Problem 63E: In the following exercises, graph each equation. 63. y=12x+3 Problem 64E: In the following exercises, graph each equation. 64. y=14x2 Problem 65E: In the following exercises, graph each equation. 65. 4x+y=2 Problem 66E: In the following exercises, graph each equation. 66. 5x+2y=10 Problem 67E: In the following exercises, graph each equation. 67. y=1 Problem 68E: In the following exercises, graph each equation. 68. x=3 Problem 69E: Explain how you would choose three x-values to make a table to graph the line y=15x2 . Problem 70E: What is the difference between the equations of a vertical and a horizontal line? Problem 71E: Do you prefer to use the method of plotting points or the method using the intercepts to graph the... Problem 72E: Do you prefer to use the method of plotting points or the method using the intercepts to graph the... Problem 3.12TI: Graph the equations in the same rectangular coordinate system: y=3 and y=3x .
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Graph the equation 5y = 20 in a rectangular coordinate system .
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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