## Section 1.3 - Continuity

**Essential Question(s):**

What does it mean for a function to be continuous?

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

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Copy__and

__define__the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed.

__Review__the following examples and

__copy__what is necessary for you. Use the guiding questions for your cornell notes.

__Continuity at a Point__

- What is a simple way to illustrate a continuous function?
- What is continuity at a point?
- What is discontinuity and review the types of discontinuities.

__Continuous Functions__

- How does domain apply to a continuous function?
- What function families are continuous?

__Algebraic Combinations__

- What can you perform with continuous functions?

__Composites__

- What happens if you compose continuous functions?

__Intermediate Value Theorem for Continuous Functions__

- What is the intermediate value theorem? (pg 83)

**STEP 3: Reading**

__If time permits, reread__the lesson and take any extra notes as needed.