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SECTION 6-5 Linear and Nonlinear Functions
Essential QuestionsHow do you graph linear and nonlinear functions?How do you identify the domain and range of a function?...
Vocabulary1. Function:2. Function Notation:3. Domain:4. Range:5. Continuous:6. Linear Function:7. Vertical-Line Test:
Vocabulary1. Function: A relationship where each x-value (independent variable)    matches with only one y-value (dependen...
Vocabulary1. Function: A relationship where each x-value (independent variable)    matches with only one y-value (dependen...
Vocabulary1. Function: A relationship where each x-value (independent variable)    matches with only one y-value (dependen...
Vocabulary1. Function: A relationship where each x-value (independent variable)    matches with only one y-value (dependen...
Vocabulary1. Function: A relationship where each x-value (independent variable)    matches with only one y-value (dependen...
Vocabulary1. Function: A relationship where each x-value (independent variable)    matches with only one y-value (dependen...
Vocabulary1. Function: A relationship where each x-value (independent variable)    matches with only one y-value (dependen...
Example 1  To make coffee in a large coffee urn, one recipe calls for two      spoonfuls for each cup plus 5 spoonfuls for...
Example 1  To make coffee in a large coffee urn, one recipe calls for two      spoonfuls for each cup plus 5 spoonfuls for...
Example 1      To make coffee in a large coffee urn, one recipe calls for two          spoonfuls for each cup plus 5 spoon...
Example 1      To make coffee in a large coffee urn, one recipe calls for two          spoonfuls for each cup plus 5 spoon...
Example 1      To make coffee in a large coffee urn, one recipe calls for two          spoonfuls for each cup plus 5 spoon...
Example 1      To make coffee in a large coffee urn, one recipe calls for two          spoonfuls for each cup plus 5 spoon...
Example 1      To make coffee in a large coffee urn, one recipe calls for two          spoonfuls for each cup plus 5 spoon...
Example 1      To make coffee in a large coffee urn, one recipe calls for two          spoonfuls for each cup plus 5 spoon...
Example 1      To make coffee in a large coffee urn, one recipe calls for two          spoonfuls for each cup plus 5 spoon...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1To make coffee in a large coffee urn, one recipe calls for two    spoonfuls for each cup plus 5 spoonfuls for the...
Example 1    To make coffee in a large coffee urn, one recipe calls for two        spoonfuls for each cup plus 5 spoonfuls...
Example 1     To make coffee in a large coffee urn, one recipe calls for two         spoonfuls for each cup plus 5 spoonfu...
Example 1     To make coffee in a large coffee urn, one recipe calls for two         spoonfuls for each cup plus 5 spoonfu...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2Graph the following relation, stating whether it is a function and                 listing the domain and range. ...
Example 2 Graph the following relation, stating whether it is a function and                  listing the domain and range...
Example 2 Graph the following relation, stating whether it is a function and                  listing the domain and range...
Example 2 Graph the following relation, stating whether it is a function and                  listing the domain and range...
Example 2 Graph the following relation, stating whether it is a function and                  listing the domain and range...
Problem Set
Problem Set                        p. 267 #1-23 odd"That is what learning is.You suddenly understand something youve    un...
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Int Math 2 Section 6-5 1011

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Linear and Nonlinear Functions

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  • Transcript of "Int Math 2 Section 6-5 1011"

    1. 1. SECTION 6-5 Linear and Nonlinear Functions
    2. 2. Essential QuestionsHow do you graph linear and nonlinear functions?How do you identify the domain and range of a function?Where you’ll see this: Machinery, travel, temperature
    3. 3. Vocabulary1. Function:2. Function Notation:3. Domain:4. Range:5. Continuous:6. Linear Function:7. Vertical-Line Test:
    4. 4. Vocabulary1. Function: A relationship where each x-value (independent variable) matches with only one y-value (dependent variable)2. Function Notation:3. Domain:4. Range:5. Continuous:6. Linear Function:7. Vertical-Line Test:
    5. 5. Vocabulary1. Function: A relationship where each x-value (independent variable) matches with only one y-value (dependent variable)2. Function Notation: f(x), reads “function of x”; tells us the independent variable is inside the parentheses; allows for working with multiple functions3. Domain:4. Range:5. Continuous:6. Linear Function:7. Vertical-Line Test:
    6. 6. Vocabulary1. Function: A relationship where each x-value (independent variable) matches with only one y-value (dependent variable)2. Function Notation: f(x), reads “function of x”; tells us the independent variable is inside the parentheses; allows for working with multiple functions3. Domain: Any possible value for the independent variable (usually x)4. Range:5. Continuous:6. Linear Function:7. Vertical-Line Test:
    7. 7. Vocabulary1. Function: A relationship where each x-value (independent variable) matches with only one y-value (dependent variable)2. Function Notation: f(x), reads “function of x”; tells us the independent variable is inside the parentheses; allows for working with multiple functions3. Domain: Any possible value for the independent variable (usually x)4. Range: Any possible value for the dependent variable (usually y)5. Continuous:6. Linear Function:7. Vertical-Line Test:
    8. 8. Vocabulary1. Function: A relationship where each x-value (independent variable) matches with only one y-value (dependent variable)2. Function Notation: f(x), reads “function of x”; tells us the independent variable is inside the parentheses; allows for working with multiple functions3. Domain: Any possible value for the independent variable (usually x)4. Range: Any possible value for the dependent variable (usually y)5. Continuous: A graph where all points are connected6. Linear Function:7. Vertical-Line Test:
    9. 9. Vocabulary1. Function: A relationship where each x-value (independent variable) matches with only one y-value (dependent variable)2. Function Notation: f(x), reads “function of x”; tells us the independent variable is inside the parentheses; allows for working with multiple functions3. Domain: Any possible value for the independent variable (usually x)4. Range: Any possible value for the dependent variable (usually y)5. Continuous: A graph where all points are connected6. Linear Function: A function that will give a straight line; any line other than a vertical line7. Vertical-Line Test:
    10. 10. Vocabulary1. Function: A relationship where each x-value (independent variable) matches with only one y-value (dependent variable)2. Function Notation: f(x), reads “function of x”; tells us the independent variable is inside the parentheses; allows for working with multiple functions3. Domain: Any possible value for the independent variable (usually x)4. Range: Any possible value for the dependent variable (usually y)5. Continuous: A graph where all points are connected6. Linear Function: A function that will give a straight line; any line other than a vertical line7. Vertical-Line Test: Tests whether a graph represents a function or not; can only touch a graph once
    11. 11. Example 1 To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot.a. Write a function where c is the number of cups of coffee being made and s is the total number of spoonfuls of coffee used.
    12. 12. Example 1 To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot.a. Write a function where c is the number of cups of coffee being made and s is the total number of spoonfuls of coffee used. Which is the independent variable?
    13. 13. Example 1 To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. a. Write a function where c is the number of cups of coffee being made and s is the total number of spoonfuls of coffee used. Which is the independent variable?The number of cups determines how many spoonfuls, so c is independent
    14. 14. Example 1 To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. a. Write a function where c is the number of cups of coffee being made and s is the total number of spoonfuls of coffee used. Which is the independent variable?The number of cups determines how many spoonfuls, so c is independent f(c) =
    15. 15. Example 1 To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. a. Write a function where c is the number of cups of coffee being made and s is the total number of spoonfuls of coffee used. Which is the independent variable?The number of cups determines how many spoonfuls, so c is independent f(c) = 2c
    16. 16. Example 1 To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. a. Write a function where c is the number of cups of coffee being made and s is the total number of spoonfuls of coffee used. Which is the independent variable?The number of cups determines how many spoonfuls, so c is independent f(c) = 2c + 5
    17. 17. Example 1 To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. a. Write a function where c is the number of cups of coffee being made and s is the total number of spoonfuls of coffee used. Which is the independent variable?The number of cups determines how many spoonfuls, so c is independent f(c) = 2c + 5 s = 2c + 5
    18. 18. Example 1 To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. a. Write a function where c is the number of cups of coffee being made and s is the total number of spoonfuls of coffee used. Which is the independent variable?The number of cups determines how many spoonfuls, so c is independent f(c) = 2c + 5 Function s = 2c + 5
    19. 19. Example 1 To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. a. Write a function where c is the number of cups of coffee being made and s is the total number of spoonfuls of coffee used. Which is the independent variable?The number of cups determines how many spoonfuls, so c is independent f(c) = 2c + 5 Function s = 2c + 5 Equation
    20. 20. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.
    21. 21. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c
    22. 22. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s
    23. 23. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 5
    24. 24. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51
    25. 25. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7
    26. 26. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)
    27. 27. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2
    28. 28. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9
    29. 29. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)
    30. 30. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)3
    31. 31. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)3 11
    32. 32. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)3 11 (3, 11)
    33. 33. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4
    34. 34. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13
    35. 35. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)
    36. 36. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5
    37. 37. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5 15
    38. 38. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5 15 (5, 15)
    39. 39. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5 15 (5, 15)
    40. 40. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5 15 (5, 15)
    41. 41. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 51 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5 15 (5, 15) c
    42. 42. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 5 s1 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5 15 (5, 15) c
    43. 43. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 5 s1 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5 15 (5, 15) c
    44. 44. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 5 s1 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5 15 (5, 15) c
    45. 45. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 5 s1 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5 15 (5, 15) c
    46. 46. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 5 s1 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5 15 (5, 15) c
    47. 47. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 5 s1 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5 15 (5, 15) c
    48. 48. Example 1To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot. b. Make a table and graph the data.c s s = 2c + 5 s1 7 (1, 7)2 9 (2, 9)3 11 (3, 11)4 13 (4, 13)5 15 (5, 15) c
    49. 49. Example 1 To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot.c. An office cafeteria has a coffee urn with the ability to make 16 to 35 cups. Determine the domain and range of the function as applied to this urn.
    50. 50. Example 1 To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot.c. An office cafeteria has a coffee urn with the ability to make 16 to 35 cups. Determine the domain and range of the function as applied to this urn. Domain: {c : c = 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35}
    51. 51. Example 1 To make coffee in a large coffee urn, one recipe calls for two spoonfuls for each cup plus 5 spoonfuls for the pot.c. An office cafeteria has a coffee urn with the ability to make 16 to 35 cups. Determine the domain and range of the function as applied to this urn. Domain: {c : c = 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35} Range: {s : s = 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75}
    52. 52. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1
    53. 53. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1
    54. 54. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x
    55. 55. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y
    56. 56. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2
    57. 57. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1
    58. 58. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)
    59. 59. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1
    60. 60. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0
    61. 61. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)
    62. 62. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0
    63. 63. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1
    64. 64. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)
    65. 65. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1
    66. 66. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1 2
    67. 67. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1 2 (1, 2)
    68. 68. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1 2 (1, 2)2
    69. 69. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1 2 (1, 2)2 3
    70. 70. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1 2 (1, 2)2 3 (2, 3)
    71. 71. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1 2 (1, 2)2 3 (2, 3)
    72. 72. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1 2 (1, 2)2 3 (2, 3)
    73. 73. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1 2 (1, 2)2 3 (2, 3)
    74. 74. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1 2 (1, 2)2 3 (2, 3)
    75. 75. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1 2 (1, 2)2 3 (2, 3)
    76. 76. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1 2 (1, 2)2 3 (2, 3)
    77. 77. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1x y-2 1 (-2, 1)-1 0 (-1, 0)0 1 (0, 1)1 2 (1, 2)2 3 (2, 3)
    78. 78. Example 2Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1
    79. 79. Example 2 Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1Domain:
    80. 80. Example 2 Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1Domain: {x : x is all real numbers}
    81. 81. Example 2 Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1Domain: {x : x is all real numbers} Range:
    82. 82. Example 2 Graph the following relation, stating whether it is a function and listing the domain and range. y = x +1Domain: {x : x is all real numbers} Range: {y : y ≥ 0}
    83. 83. Problem Set
    84. 84. Problem Set p. 267 #1-23 odd"That is what learning is.You suddenly understand something youve understood all your life, but in a new way." - Doris Lessing
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