This math topic focuses on the understanding and visualization of function domains and ranges. It teaches how to interpret descriptions of sets of real numbers and depict them on a number line, with specific emphasis on unions of intervals. The questions present various conditions for real numbers, and students must select the correct number line representation corresponding to those conditions. Each problem includes options to identify whether the number line depiction accurately reflects the described domain or range, incorporating both separate intervals and combined conditions with unions.

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 Number Line (With Union) Worksheet

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Function Domain/Range Definition - Words to Number Line (With Union)
1
All real numbers greater than -2 and less than or equal to 6 OR greater than 9
What number line shows this domain?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
2
All real numbers greater than -2 and less than or equal to 7 OR greater than or equal to 11
What number line shows this range?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
3
All real numbers greater than -3 and less than 9 OR greater than or equal to 12
What number line shows this range?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
4
All real numbers less than 9 OR greater than 13 and less than or equal to 21
What number line shows this domain?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
5
All real numbers greater than 1 and less than or equal to 4 OR greater than or equal to 7 and less than or equal to 13
What number line shows this domain?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
6
All real numbers greater than -6 and less than 6 OR greater than 9 and less than or equal to 16
What number line shows this domain?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
7
All real numbers less than or equal to 8 OR greater than or equal to 12 and less than 16
What number line shows this range?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
8
All real numbers greater than 0 and less than 7 OR greater than 11 and less than or equal to 17
What number line shows this domain?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem