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Graphing Linear Equations & Functions

Learn how to graph linear equations, find intercepts, and determine the domain and range of functions. Practice exercises included.

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Graphing Linear Equations & Functions

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  1. Section 3.1 Graphs

  2. Given an ordered pair of numbers, find its graph, and vice versa. A OBJECTIVES

  3. Graph lines by finding two or more points satisfying the equation of the line. B OBJECTIVES

  4. Graph lines by finding the x- and y- intercepts. C OBJECTIVES

  5. Graph horizontal and vertical lines. D OBJECTIVES

  6. DEFINITION Standard Form of Linear Equations

  7. PROCEDURE Finding the Intercepts

  8. RULE Graphing Horizontal and Vertical Lines Y = C is a horizontal line. X = C is a vertical line.

  9. Chapter 3 Graphs and FunctionsSection 3.1A Practice TestExercise #1

  10. a. Graph.

  11. a. Graph.

  12. a. Graph.

  13. a. Graph.

  14. a. Graph.

  15. B A E D C b. Find the coordinates of the points in the figure.

  16. Chapter 3 Graphs and FunctionsSection 3.1A Practice TestExercise #2

  17. Graph the solutions to

  18. Graph the solutions to

  19. Chapter 3 Graphs and FunctionsSection 3.1C Practice TestExercise #3

  20. Find thex- and y- interceptsof y = 3x + 2 and then graph the solutions to the equation.

  21. Find thex- and y- interceptsof y = 3x + 2 and then graph the solutions to the equation.

  22. Find thex- and y- interceptsof y = 3x + 2 and then graph the solutions to the equation.

  23. Chapter 3 Graphs and FunctionsSection 3.1D Practice TestExercise #4

  24. Graph the solutions to: a. b.

  25. Section 3.2 Introduction to Functions

  26. Find the domain and range of a relation. A OBJECTIVES

  27. Use the vertical line test to determine if a relation is a function. B OBJECTIVES

  28. Find the domain of a function defined by an equation. C OBJECTIVES

  29. Find the value of a function. D OBJECTIVES

  30. DEFINITION Relation, Domain, and Range Relation: A set of ordered pairs.

  31. DEFINITION Relation, Domain, and Range Domain: A set of first coordinates.

  32. DEFINITION Relation, Domain, and Range Range: A set of second coordinates.

  33. DEFINITION Function A relation in which no two different ordered pairs have the same first coordinates.

  34. PROCEDURE Vertical Line Test If a vertical line intersects the graph more than once, the relation is not a function.

  35. DEFINITION Linear Function

  36. DEFINITION Function A function assigns exactly one range value to each domain value.

  37. DEFINITION Function 2. A function is a relation in which no two ordered pairs have the same first coordinate.

  38. DEFINITION Function 3. A function assigns one range to each domain.

  39. Chapter 3 Graphs and FunctionsSection 3.2A Practice TestExercise #5

  40. Find the domain and range of the relation {(1, 3), (2, 5), (3, 7), (4, 9)}.

  41. Chapter 3 Graphs and FunctionsSection 3.2A Practice TestExercise #7c

  42. Find the domain and range of the relation.

  43. Chapter 3 Graphs and FunctionsSection 3.2B Practice TestExercise #8b

  44. Use the vertical line test to determine whether the graph of the given relation defines a function.

  45. Chapter 3 Graphs and FunctionsSection 3.2C Practice TestExercise #9

  46. Denominator 0 Radicand 0 Find the domain of the function.

  47. Chapter 3 Graphs and FunctionsSections 3.2D Practice TestExercise #10

  48. Let ƒ(x) = 4x – 3. Find:

  49. Let ƒ(x) = 4x – 3. Find:

  50. Let ƒ(x) = 4x – 3. Find:

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