Test Distribution A B C D F No-Shows Range Avg 100+ 12/4/2018 10:50 AM 3.1: Domain and Range

Domain and Range 12/4/2018 10:50 AM 3.1: Domain and Range

Graphs Remember, “Y depends on X” X is the Independent Variable Known as the Domain Applies to Time What can you control? Y is the Dependent Variable Known as the Range Applies to Cost What is the end result? 12/4/2018 10:50 AM 3.1: Domain and Range

What do these signs mean? > Greater than ≥ Greater than OR equal to < Less than Less than OR equal to ≤

Definitions Inequality is an equation where the variable does not equal to each other >, <, or ≠ requires the dot being OPEN hole >, <, or = required the dot being CLOSED hole

Simple Inequalities (only ONE starting or ending point) To Write Inequalities Simple Inequalities (only ONE starting or ending point) Follow the arrow Variable Should always go first Compound Inequalities (more than ONE starting or ending point) Always use < or < in between the variable Smallest number ALWAYS comes first Biggest number ALWAYS comes last 12/4/2018 10:50 AM 3.1: Domain and Range

To Write in Interval Notation Smallest number, bigger number Brackets [ , ] represents greater than or equal to, less than or equal to Parenthesis ( , ) represents greater than or less than On the ends, extremes use infinity: ∞; always deals with parenthesis

Example 1 What are the independent and dependent variables? What is the domain and range? Write them in Compound Inequality form. 12/4/2018 10:50 AM 3.1: Domain and Range

Example 2 What are the independent and dependent variables? What is the domain and range? Write them in Compound Inequality form. 12/4/2018 10:50 AM 3.1: Domain and Range

Your Turn What are the independent and dependent variables? What is the domain and range? Write them in Compound Inequality form. 12/4/2018 10:50 AM 3.1: Domain and Range

Example 4 What is the domain and range? Write them in Interval Notation form. 12/4/2018 10:50 AM 3.1: Domain and Range

Example 5 What is the domain and range? Write them in Interval Notation form. 12/4/2018 10:50 AM 3.1: Domain and Range

Your Turn What is the domain and range? Write them in Interval Notation form. 12/4/2018 10:50 AM 3.1: Domain and Range

Eruption Duration [Min] Eruption Duration [Min] Example 6 What are the independent and dependent variables and write a reasonable domain in compound inequality and interval notation. Waiting Time Between Eruptions [min] Eruption Duration [Min] Waiting Time Between Eruptions [min] Eruption Duration [Min] 12/4/2018 10:50 AM 3.1: Domain and Range

Assignment Worksheet 12/4/2018 10:50 AM 3.1: Domain and Range 15