This math topic focuses on translating verbal descriptions of functions' domains and ranges into interval notation, including cases with unions of intervals. The problems involve various scenarios, like determining the intervals where real numbers are larger, smaller, or between specified values. The ability to distinguish and apply correct interval notations, such as open and closed intervals, is crucial in these problems.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Function Domain/Range Definition - Words to Interval (With Union) Worksheet

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Function Domain/Range Definition - Words to Interval (With Union)
1
All real numbers less than or equal to 1 OR greater than or equal to 2
a A LaTex expression showing ( -\infty, 1]\cup[2, \infty)
b A LaTex expression showing ( -\infty, 1)\cup[2, \infty)
2
All real numbers greater than or equal to 4 and less than 7 OR greater than 7 and less than 11
a A LaTex expression showing [4, 7]\cup[7, 11]
b A LaTex expression showing [4, 7)\cup(7, 11)
3
All real numbers greater than or equal to -8 and less than -1 OR greater than or equal to 3
a A LaTex expression showing [-8, -1)\cup[3, \infty)
b A LaTex expression showing [-8, -1]\cup(3, \infty)
4
All real numbers greater than or equal to 4 and less than 9 OR greater than or equal to 13
a A LaTex expression showing ( -\infty, 9)\cup(13, \infty)
b A LaTex expression showing [4, 9)\cup[13, \infty)
5
All real numbers greater than or equal to 4 and less than 8 OR greater than or equal to 12
a A LaTex expression showing [4, 8)\cup[12, 16]
b A LaTex expression showing [4, 8)\cup[12, \infty)
6
All real numbers greater than -10 and less than 3 OR greater than 3
a A LaTex expression showing (-10, 3]\cup(3, \infty)
b A LaTex expression showing (-10, 3)\cup(3, \infty)
7
All real numbers less than -1 OR greater than or equal to 0
a A LaTex expression showing ( -\infty, -1)\cup[0, \infty)
b A LaTex expression showing ( -\infty, -1]\cup(0, \infty)
8
All real numbers less than or equal to 4 OR greater than or equal to 7
a A LaTex expression showing (-9, 4)\cup[7, 13)
b A LaTex expression showing ( -\infty, 4]\cup[7, \infty)