1. Algebra 1 Notes: Lesson 1-8: Graphs and Functions

2. Vocabulary
Input –
Output –

3. Vocabulary
Input – x
Output –

4. Vocabulary
Input – x
Output – y

5. Vocabulary
Input – x
Output – y x determines y

6. Vocabulary
Independent –
Dependent -

7. Vocabulary
Independent – x
Dependent -

8. Vocabulary
Independent – x
Dependent - y

9. Vocabulary
Independent – x
Dependent – y y depends on x

10. Vocabulary
Domain –
Range –

11. Vocabulary
Domain – all x’s (logical)
Range –

12. Vocabulary
Domain – all x’s (logical)
Range – all y’s (logical)

14. Example 1
Identify the independent and dependent variables for each function.
In Ohio, the average monthly electricity usage rises as the temperature rises, and falls as the temperature falls.
Independent:

15. Example 1
Identify the independent and dependent variables for each function.
In Ohio, the average monthly electricity usage rises as the temperature rises, and falls as the temperature falls.
Independent: Temperature

16. Example 1
Identify the independent and dependent variables for each function.
In Ohio, the average monthly electricity usage rises as the temperature rises, and falls as the temperature falls.
Independent: Temperature
Dependent:

17. Example 1
Identify the independent and dependent variables for each function.
In Ohio, the average monthly electricity usage rises as the temperature rises, and falls as the temperature falls.
Independent: Temperature
Dependent: Electricity usage

19. Time

20. Speed
Time

21. Speed
Time 1. 2. 3. 4.

22. 1. The bus is maintaining the same speed. 2. 3. 4.
Time
1. The bus is maintaining the same speed. 2. 3. 4.

23. 1. The bus is maintaining the same speed. 2. The bus is stopped. 3. 4.
Time
1. The bus is maintaining the same speed.
2. The bus is stopped. 3. 4.

24. 1. The bus is maintaining the same speed. 2. The bus is stopped.
Time
1. The bus is maintaining the same speed.
2. The bus is stopped.
3. The bus is speeding up. 4.

25. 1. The bus is maintaining the same speed. 2. The bus is stopped.
Time
1. The bus is maintaining the same speed.
2. The bus is stopped.
3. The bus is speeding up.
4. The bus is slowing down to stop.

26. Example 3
The table shows the number of students that eat each lunch period at a school.
Identify the independent and dependent variables.
Independent:
Period 1 2 3
Number of Students
352
304
391

27. Example 3
The table shows the number of students that eat each lunch period at a school.
Identify the independent and dependent variables.
Independent: period
Dependent:
Period 1 2 3
Number of Students
352
304
391

28. Example 3
The table shows the number of students that eat each lunch period at a school.
Identify the independent and dependent variables.
Independent: period
Dependent: number of students
Period 1 2 3
Number of Students
352
304
391

29. (independent, dependent)
Example 3
b) Write the data as a set of ordered pairs.
(independent, dependent)
(1, 352)
Period 1 2 3
Number of Students
352
304
391

30. (independent, dependent)
Example 3
b) Write the data as a set of ordered pairs.
(independent, dependent)
(1, 352) (2, 304)
Period 1 2 3
Number of Students
352
304
391

31. (independent, dependent)
Example 3
b) Write the data as a set of ordered pairs.
(independent, dependent)
(1, 352) (2, 304) (3, 391)
Period 1 2 3
Number of Students
352
304
391

32. Example 3
c) Draw a graph that shows the relationship between the lunch period and the number of students.
Period 1 2 3
Number of Students
352
304
391

33. Example 3

34. Example 3

35. Example 3

36. Mr. Clem is taking his third period Algebra 1 class to the zoo for a much deserved field trip. The admission is four dollars per student, and the school is paying the cost. There are 120 students in his third period class, but not all of the students are sure if they can go.
Independent Variable –
Dependent Variable –

37. Mr. Clem is taking his third period Algebra 1 class to the zoo for a much deserved field trip. The admission is four dollars per student, and the school is paying the cost. There are 120 students in his third period class, but not all of the students are sure if they can go.
Independent Variable – How many student go
Dependent Variable –

38. Mr. Clem is taking his third period Algebra 1 class to the zoo for a much deserved field trip. The admission is four dollars per student, and the school is paying the cost. There are 120 students in his third period class, but not all of the students are sure if they can go.
Independent Variable – How many student go
Dependent Variable – How much money the school pays

39. Mr. Clem is taking his third period Algebra 1 class to the zoo for a much deserved field trip. The admission is four dollars per student, and the school is paying the cost. There are 120 students in his third period class, but not all of the students are sure if they can go.
Independent Variable – How many student go
Dependent Variable – How much money the school pays
Logical Domain –
Logical Range –

40. Mr. Clem is taking his third period Algebra 1 class to the zoo for a much deserved field trip. The admission is four dollars per student, and the school is paying the cost. There are 120 students in his third period class, but not all of the students are sure if they can go.
Independent Variable – How many student go
Dependent Variable – How much money the school pays
Logical Domain – (0,120)
Logical Range –

41. Mr. Clem is taking his third period Algebra 1 class to the zoo for a much deserved field trip. The admission is four dollars per student, and the school is paying the cost. There are 120 students in his third period class, but not all of the students are sure if they can go.
Independent Variable – How many student go
Dependent Variable – How much money the school pays
Logical Domain – (0,120)
Logical Range – (0,480)

42. Assignment
Pg 46
4 – 13 (all)