## Section 1.5 - Parametric Relations and Inverses

**Essential Question(s):**

What are some properties of inverse functions?

How can parametric relations be used with inverse functions?

**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 is a parameter?(pg 127)

Group 2 Vocab

- What is an inverse relation? (pg 130)
- What is the horizontal line test? (pg 130)

Group 3 Vocab

- What is an inverse function? (pg 131)

Group 4 Vocab

- What is the inverse reflection principle? (pg 132)

Group 5 Vocab

- What is the inverse composition rule? (pg 133)

Group 6 Vocab

- How do you consider domains when finding an inverse function algebraically? (pg 134 table)

**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 a function parametrically? (Ex 1 pg 127)
- How to graph parametric relations on a calculator? Review Example 2 on pg 128. Take notes as needed. More info:
- TI-83
- TI-89
- TI-nSpire CX/CX CAS

Group 2 Example(s)

- How do you apply the horizontal line test? (Ex 3 pg 130)

Group 3 Example(s)

- How do you find an inverse algebraically? (Ex 4 pg 131)

Group 4 Example(s)

- How do you find an inverse function graphically? (Ex 5 pg 132)

Group 5 Example(s)

- How do you verify inverse functions? (Ex 6, pg 133)

Group 6 Example(s)

- How do you find an inverse function with domain restrictions? (Ex 7, pg 134)

- Read pages 127-134 and then move onto step 4