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Functions and Graphs Chapter 1.2. Functions 2 Example 1: The Circle-Area Function 3.

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Presentation on theme: "Functions and Graphs Chapter 1.2. Functions 2 Example 1: The Circle-Area Function 3."— Presentation transcript:

1 Functions and Graphs Chapter 1.2

2 Functions 2

3 Example 1: The Circle-Area Function 3

4 4

5 Viewing and Interpreting Graphs 5

6 Domain and Range 6

7 In most cases, the domain and range of a function can be expressed as intervals or as inequalities (either is acceptable) The figure on the right is from page 13 of your textbook 7

8 Example 2: Identifying Domain and Range of a Function 8

9 9

10 10

11 Example 2: Identifying Domain and Range of a Function 11

12 Example 2: Identifying Domain and Range of a Function 12

13 Example 3: Identifying Domain and Range of a Function 13

14 Example 3: Identifying Domain and Range of a Function 14

15 Example 3: Identifying Domain and Range of a Function 15

16 Example 3: Identifying Domain and Range of a Function 16

17 Example 3: Identifying Domain and Range of a Function 17

18 Even and Odd Functions—Symmetry 18

19 Even and Odd Functions—Symmetry 19

20 Even and Odd Functions—Symmetry 20

21 Example 4: Recognizing Even & Odd Functions 21

22 Example 4: Recognizing Even & Odd Functions 22

23 Example 5: Writing Formulas for Piecewise Functions 23

24 Example 5: Writing Formulas for Piecewise Functions 24

25 Example 5: Writing Formulas for Piecewise Functions 25

26 Example 6: Writing Formulas for Piecewise Functions 26

27 Example 6: Writing Formulas for Piecewise Functions 27

28 The Absolute Value Function 28

29 The Absolute Value Function 29

30 Example 7: Using Transformations 30

31 Example 7: Using Transformations 31

32 Example 7: Using Transformations 32

33 Composite Functions 33

34 Example 8: Composing Functions 34

35 Example 8: Composing Functions 35

36 Composite Functions 36

37 Composite Functions 37

38 Composite Functions 38

39 Composite Functions 39

40 Exercise 1.2 Page 19, #1-4, 5-29 odds, 41-48, 67-70 (29 total) 40


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