### 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 -5 \land x \lt 2#

The interval #\ivco{-5}{2}# describes all numbers bigger than or equal to #-5# and smaller than #2#. Hence, we notate this as

\[x \geq -5 \land x \lt 2\]

The interval #\ivco{-5}{2}# describes all numbers bigger than or equal to #-5# and smaller than #2#. Hence, we notate this as

\[x \geq -5 \land x \lt 2\]

Unlock full access

Teacher access

Request a demo account. We will help you get started with our digital learning environment.

Student access

Is your university not a partner?
Get access to our courses via

Or visit omptest.org if jou are taking an OMPT exam.

**Pass Your Math**independent of your university. See pricing and more.Or visit omptest.org if jou are taking an OMPT exam.