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

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

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

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

25. Speed 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:

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:

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

29. Example 3 b) Write the data as a set of ordered pairs. (independent, dependent) (1, 352)

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

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

32. Example 3 c) Draw a graph that shows the relationship between the lunch period and the number of students.

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)