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Domain & Range

•. Use ≤. ◦. Use <. Do not write . Leave that side blank. ∞. When stating the domain and range of a function, you have to look at the beginning and end of your function in order to properly label the domain and range. Always write domain: left < x < right range: low < y < high.

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Domain & Range

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  1. • Use≤ ◦ Use< Do not write . Leave that side blank ∞ When stating the domain and range of a function, you have to look at the beginning and end of your function in order to properly label the domain and range. Always write domain: left < x < right range: low < y < high Domain & Range End MarkingNotation Inequality (Set) Notation If both ends of domain or range go to infinity, use xєR or yєR

  2. Inequality (set) Notation • Start with the domain- how far to the left does the function go? • -5 • What is the end marking? What inequality symbol will you use? • Closed dot, so ≤ • How far to the right does the domain go? What symbol will we use? • 3, closed dot so ≤ • Now to the range- What is the lowest point my function reaches? What symbol? • -3, ≤ • What is the highest? Symbol? • 4, ≤ D: R: -5 ≤ x ≤ 3 -3 ≤ y ≤ 4

  3. • Use[or ] ◦ Use( or) ∞ Use(-or) ∞ Always write domain: left < x < right range: low < y < high Domain & Range End MarkingNotation Interval Notation ∞ always gets parenthesis!!

  4. Interval Notation • Start with the domain- how far to the left does the function go? • -5 • What is the end marking? What interval symbol will you use? • Closed dot, so [ • How far to the right does the domain go? What symbol will we use? • 3, closed dot so ] • Now to the range- What is the lowest point my function reaches? What symbol? • -3, [ • What is the highest? Symbol? • 4, ] D: R: [-5, 3] [-3, 4]

  5. -8 ≤ x Right side blank y ≤ 4 Left side blank Inequality Notation • Start with the domain- how far to the left does the function go? • -8 • What is the end marking? What inequality symbol will you use? • Closed dot, so ≤ • How far to the right does the domain go? What symbol will we use? • Infinity, no symbol • Now to the range- What is the lowest point my function reaches? What symbol? • Negative infinity, no symbol • What is the highest? Symbol? • 4, ≤ D: R:

  6. Interval Notation • Start with the domain- how far to the left does the function go? • -8 • What is the end marking? What inequality symbol will you use? • Closed dot, so [ • How far to the right does the domain go? What symbol will we use? • Infinity, ) • Now to the range- What is the lowest point my function reaches? What symbol? • Negative infinity, ( • What is the highest? Symbol? • 4, ] D: R: [-8, ∞) (- ∞ , 4]

  7. Interval D: R: Inequality D: R:

  8. Interval D: R: Inequality D: R:

  9. Interval D: R: Inequality D: R:

  10. Interval D: R: Inequality D: R:

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