### 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 -1 \land x \lt 4#

The interval #\ivco{-1}{4}# describes all numbers bigger than or equal to #-1# and smaller than #4#. Hence, we notate this as

\[x \geq -1 \land x \lt 4\]

The interval #\ivco{-1}{4}# describes all numbers bigger than or equal to #-1# and smaller than #4#. Hence, we notate this as

\[x \geq -1 \land x \lt 4\]

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