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INTERVAL NOTATION
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Interval Notation
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Intervals (a, b) [a, b] [a, b) (a, b] (a, ) [a, ) (-, b) (-, b]
Notation Graph Set-builder Notation (a, b) [a, b] [a, b) (a, b] (a, ) [a, ) (-, b) (-, b] (-, ) b b
![Intervals (a, b) [a, b] [a, b) (a, b] (a, ) [a, ) (-, b) (-, b]](http://slideplayer.com/slide/15964152/88/images/3/Intervals+%28a%2C+b%29+%5Ba%2C+b%5D+%5Ba%2C+b%29+%28a%2C+b%5D+%28a%2C+%EF%82%A5%29+%5Ba%2C+%EF%82%A5%29+%28-%EF%82%A5%2C+b%29+%28-%EF%82%A5%2C+b%5D.jpg "Notation. Graph. Set-builder Notation. (a, b) [a, b] [a, b) (a, b] (a, ) [a, ) (-, b) (-, b] (-, ) b. b.")
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• ◦ ∞ Domain & Range domain: left < x < right Always write
range: low < y < high Interval Notation End Marking Notation • ◦ Use [ or ] Use ( or ) Use ( or ) ∞ ∞ always gets parenthesis!!
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State the domain of
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State the domain of
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D: R: [-5, 3] [-3, 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]
![D: R: [-5, 3] [-3, 4] Interval Notation](http://slideplayer.com/slide/15964152/88/images/7/D%3A+R%3A+%5B-5%2C+3%5D+%5B-3%2C+4%5D+Interval+Notation.jpg "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]")
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D: R: [-8, ∞) (- ∞ , 4] 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]
![D: R: [-8, ∞) (- ∞ , 4] Interval Notation](http://slideplayer.com/slide/15964152/88/images/8/D%3A+R%3A+%5B-8%2C+%E2%88%9E%29+%28-+%E2%88%9E+%2C+4%5D+Interval+Notation.jpg "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]")
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Over what intervals is f(x) > g(x)
Where is f(x) = g(x) (-1,0) & (2,3) Over what intervals is f(x) > g(x) Over what intervals is f(x) < g(x)
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Extreme values can be in the interior or the end points of a function.
No Absolute Maximum Absolute Minimum
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