## Section 1.4 - Building Functions from Functions

**Essential Question(s):**

How does composition of functions affect domain and range?

**Follow**__these four steps__to complete this "flip" lesson.**STEP 1:**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2:**

__Copy__and define the following groups of vocabulary using your textbook glossary. This can be any tables, properties, theorems, terms, phrases or postulates listed. The vocabulary is grouped with specific examples.

Group 1 Vocab

- What are the sum, difference, product and quotient of functions?(pg 117)

Group 2 Vocab

- What is a composition of functions? (pg 118)

Group 3 Vocab

- What is a relation? (glossary)

Group 4 Vocab

- What does implicitly mean? (pg 123)

**STEP 3:**

__Read__the following page and take any extra notes as needed.

__Copy__the following example(s) from the textbook

__AFTER__their designated Vocabulary Group.

Group 1 Example(s)

- How do you define new functions algebraically? (Ex 1 pg 118)

Group 2 Example(s)

- Read example 2 on pg 119 (Take notes as needed)
- How do you find the domain of a composition? (Ex 3 pg 120)
- How do you decompose a function? (Ex 4 pg 121)

Group 3 Example(s)

- How do you verify pairs in a relation? (Ex 6 pg 122)

Group 4 Example(s)

- How can you use implicitly defined functions? (Ex 7 pg 123)

- Read pages 117-123 and then move onto step 4