Domain and Range Worksheet
Explore the domain and range of various functions through graphs and sets of ordered pairs.
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Domain and Range Exploration
Name:
Date:
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Read each question carefully and determine the domain and range for the given functions or relations.
1. For the relation {(2, 3), (4, 5), (6, 7), (8, 9)}, identify the domain and range.
Domain:
Range:
2. What is the domain and range of the relation {(-1, 0), (0, 1), (1, 2), (2, 3)}?
Domain:
Range:
3. Consider the graph of a line segment from (-3, -2) to (2, 3).
Domain:
Range:
4. A horizontal line segment extends from x = -4 to x = 4, with y = 2.
Domain:
Range:
5. Which of the following sets of ordered pairs represents a function?
{(1, 2), (1, 3), (2, 4)}
{(1, 2), (2, 2), (3, 2)}
{(1, 2), (2, 3), (2, 4)}
{(1, 2), (3, 2), (3, 4)}
6. What is the range of the function f(x) = x + 1 when the domain is {-2, 0, 2}?
{-1, 1, 3}
{-2, 0, 2}
{0, 1, 3}
{-1, 0, 1}
7. The domain of a function is the set of all possible output values (y-values).
True
False
8. Every function is also a relation.
True
False
9. Describe in your own words the difference between a relation and a function. Provide an example of a relation that is not a function.
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