Module 1 Lesson 1 1 Domain Range and

Module 1: Lesson 1. 1 Domain, Range, and End Behavior Real World Video Module Performance Task Preview (page 3 in text): How High Does a Pole Vaulter Go? In pole vaulting, a person jumps over a horizontal bar with the assistance of a long fiberglass or carbon-fiber pole. The flexible pole makes it possible for vaulters to achieve much greater heights than jumping without a pole. The goal is to clear the bar without knocking it down. How can mathematics be used to compare the heights of a pole vaulter for two different vaults? Let’s jump in and find out!

Representing an Interval on a Number Line Ex. 1: Use three different notations to represent the following inequality. Inequality: Set Notation: Interval Notation:

Interval Notation Rules 1. 2. 3. 4. 5. Use square brackets to include an endpoint of an interval Use parentheses to exclude an endpoint from an interval If the interval is unbounded (continues forever) in the positive direction (to the right), use the symbol for positive infinity, If the interval is unbounded (continues forever) in the negative direction (to the left), use the symbol for negative infinity, Note: Always use parentheses with infinity symbols

Example 2 Use three different notations to represent the following inequalities on number lines. State the type of notation for each. 1. 2. 3. Challenge:

Your Turn Complete table A, table B, and Reflect on pages 5 and 6 of your textbook. Answers