Functions: Domain and range
Intervals
IntervalAn interval is a collection of numbers that correspond with a part of the numbers line. We identify the following intervals.
| Interval | Description | Image |
| #\ivoo{a}{b}# | #x \gt a \land x \lt b# | |
| #\ivcc{a}{b}# | #x \geq a \land x \leq b# | |
| #\ivco{a}{b}# | #x \geq a \land x \lt b# | |
| #\ivoc{a}{b}# | #x \gt a \land x \leq b# | |
| #\ivoo{a}{\infty}# | #x \gt a# | |
| #\ivco{a}{\infty}# | #x \geq a# | |
| #\ivoo{-\infty}{b}# | #x \lt b# | |
| #\ivoc{-\infty}{b}# | #x \leq b# | |
| #\ivoo{-\infty}{\infty}# | all numbers |
#x \geq -3 \land x \lt 5#
The interval #\ivco{-3}{5}# describes all numbers bigger than or equal to #-3# and smaller than #5#. Hence, we notate this as
\[x \geq -3 \land x \lt 5\]
The interval #\ivco{-3}{5}# describes all numbers bigger than or equal to #-3# and smaller than #5#. Hence, we notate this as
\[x \geq -3 \land x \lt 5\]
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