## Lesson 14.1 - Composition of Functions

**Essential Question(s):**

How do you evaluate functions graphically or algebraically?

How do you determine domain when composing two functions?

**Follow the steps to complete your notes and review the content.**

**STEP 1: Preparation**

__Title__your spiral with the heading above,

__copy__the essential question(s), and draw your border line for the Cornell notes.

**STEP 2: Textbook**

__Answer__the follow questions by using your workbook.

__Read__more than enough to ensure a complete answer to the question.

Following a

__Cornell notes format__, the questions should be written in the left-hand column and with the answers to the right of the question.

Make sure to

__write enough to answer the question__.

__Problem 1__

- How do you read a composition?
- What is another way to write function operations?
- How do you evaluate a function graphically? For example, f(3)? Or g^(-1) (4)?

__Problem 2__

- How do you evaluate a function composition algebraically? For example, g(f(3))? Or f(g(2x)) ?

__Problem 3__

- Which family of functions have restricted or unrestricted domains?
- What are the four possible combinations when composing two functions?
- How do you determine the domain of a composition of two functions?

__Chapter Summary__

- Review on your own. Add any questions and answers you want.

**STEP 3: Mathia Spiral**

__Copy__down diagrams, expressions, and other essential work

__from problems that help illustrate the topic(s) covered__.

- none

**STEP 4: Self-check**

Perform a self-check after the lesson is completed in class by asking yourself the following question:

*"Can you*

__answer__the essential question(s)__completely__?"- Yes? Awesome job! You took
__effective notes__, and__paid attention__. You are on your way to success! :D - No? Ok. We all have struggles.
__Determine__why you said no, r__evise__your notes and self-check again.__Do not get discouraged__.