Functions and Graphs Chapter 1.2

Functions 2

Example 1: The Circle-Area Function 3

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Viewing and Interpreting Graphs 5

Domain and Range 6

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

Example 2: Identifying Domain and Range of a Function 8

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Example 2: Identifying Domain and Range of a Function 11

Example 2: Identifying Domain and Range of a Function 12

Example 3: Identifying Domain and Range of a Function 13

Example 3: Identifying Domain and Range of a Function 14

Example 3: Identifying Domain and Range of a Function 15

Example 3: Identifying Domain and Range of a Function 16

Example 3: Identifying Domain and Range of a Function 17

Even and Odd Functions—Symmetry 18

Even and Odd Functions—Symmetry 19

Even and Odd Functions—Symmetry 20

Example 4: Recognizing Even & Odd Functions 21

Example 4: Recognizing Even & Odd Functions 22

Example 5: Writing Formulas for Piecewise Functions 23

Example 5: Writing Formulas for Piecewise Functions 24

Example 5: Writing Formulas for Piecewise Functions 25

Example 6: Writing Formulas for Piecewise Functions 26

Example 6: Writing Formulas for Piecewise Functions 27

The Absolute Value Function 28

The Absolute Value Function 29

Example 7: Using Transformations 30

Example 7: Using Transformations 31

Example 7: Using Transformations 32

Composite Functions 33

Example 8: Composing Functions 34

Example 8: Composing Functions 35

Composite Functions 36

Composite Functions 37

Composite Functions 38

Composite Functions 39

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