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

Level 1

This topic focuses on understanding how to describe the domain and range of functions from set intervals using words, specifically incorporating the concept of unions between sets. The problems are aimed at converting mathematical expressions of intervals into verbal descriptions, determining either domain or range for each given interval. Each problem presents a union of intervals (such as `[-7, -1] ∪ (0, 5)`), and requires conversion into a verbal statement describing all the real numbers included in the interval. This involves recognizing and correctly interpreting the different types of brackets and parentheses to define inclusivity and exclusivity within the intervals.

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

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

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Function Domain/Range Definition - Interval to Words (With Union)
1
What range does this interval describe?
A LaTex expression showing (-10, 8)\cup[9, 17)
a
All real numbers greater than -10 and less than 8 OR greater than or equal to 9 and less than 17
b
All real numbers greater than -10 and less than or equal to 8 OR greater than 9 and less than or equal to 17
2
What range does this interval describe?
A LaTex expression showing [-7, -1]\cup(0, 5)
a
All real numbers greater than or equal to -7 and less than or equal to -1 OR greater than 0 and less than 5
b
All real numbers greater than -7 and less than or equal to -1 OR greater than 0 and less than 5
3
What domain does this interval describe?
A LaTex expression showing [1, 7]\cup(11, 19]
a
All real numbers greater than or equal to 1 and less than or equal to 7 OR greater than or equal to 11 and less than or equal to 19
b
All real numbers greater than or equal to 1 and less than or equal to 7 OR greater than 11 and less than or equal to 19
4
What domain does this interval describe?
A LaTex expression showing [-9, 5)\cup[6, 11)
a
All real numbers greater than or equal to -9 and less than 5 OR greater than or equal to 6 and less than 11
b
All real numbers greater than or equal to -9 and less than 5 OR greater than 6
5
What domain does this interval describe?
A LaTex expression showing [-3, 0)\cup[1, \infty)
a
All real numbers greater than -3 and less than 0 OR greater than or equal to 1
b
All real numbers greater than or equal to -3 and less than 0 OR greater than or equal to 1
6
What domain does this interval describe?
A LaTex expression showing [-2, 1)\cup(2, \infty)
a
All real numbers greater than or equal to -2 and less than or equal to 1 OR greater than or equal to 2 and less than or equal to 11
b
All real numbers greater than or equal to -2 and less than 1 OR greater than 2
7
What range does this interval describe?
A LaTex expression showing ( -\infty, 0]\cup(3, \infty)
a
All real numbers less than or equal to 0 OR greater than 3
b
All real numbers less than 0 OR greater than or equal to 3
8
What domain does this interval describe?
A LaTex expression showing (-4, 0)\cup[4, \infty)
a
All real numbers greater than -4 and less than 0 OR greater than or equal to 4
b
All real numbers greater than or equal to -4 and less than 0 OR greater than 4