## Section 1.3 - Twelve Basic Functions

**Essential Question(s):**

What are some similarities and differences between the twelve basic 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 are the twelve basic functions? pg 106-108 (copy interesting facts as needed)t

Group 2 Vocab

- What is a piecewise-defined function? (glossary)

**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)

- Using Examples 1-4 answer the following questions.
*Which functions don't have a domain of all real numbers?**Which function has a domain of all reals except zero and why isn't zero in the domain?**Which two functions have no negative numbers in their domains? Of these two, which one is defined at zero?**Only two of the twelve functions have points of discontinuity. Are these points in the domain of the function?**Which three functions of the twelve basic functions are bounded?**Which functions are even, odd or neither?*- Review Example 5 and take any notes as needed.

Group 2 Examples

- How do you graph piecewise functions on a graphing calculator? Select your grapher model and take notes as needed.
*TI-83/TI-84**TI-89/89 Titanium**TI-nSpire CX/ CX CAS*- Review example 6, example 7 and example 8. (Take notes as needed.)

Group 3 Example(s)

- How do you give a complete analysis of the absolute value function? (Ex 9 pg 112)

- Read pages 106-112 and then move onto step 4