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

2. Domain and Range
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3.1: Domain and Range

3. 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?
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3.1: Domain and Range

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

5. 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

6. 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
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3.1: Domain and Range

7. 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

8. Example 1
What are the independent and dependent variables? What is the domain and range? Write them in Compound Inequality form.
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3.1: Domain and Range

9. Example 2
What are the independent and dependent variables? What is the domain and range? Write them in Compound Inequality form.
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3.1: Domain and Range

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

11. Example 4
What is the domain and range? Write them in Interval Notation form.
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3.1: Domain and Range

12. Example 5
What is the domain and range? Write them in Interval Notation form.
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3.1: Domain and Range

13. Your Turn
What is the domain and range? Write them in Interval Notation form.
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3.1: Domain and Range

14. 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]
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3.1: Domain and Range

15. Assignment
Worksheet
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3.1: Domain and Range 15