Functions and Mapping Worksheet
Explore functions and their properties through mapping diagrams, identifying domain, range, and function types for Grade 9 Math.
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Topics
Functions and Mapping
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Read each question carefully and answer to the best of your ability. Show all your work where applicable. This worksheet covers topics related to functions, domain, range, and mapping diagrams.
1. Which of the following best describes a function?
A relation where each output has exactly one input.
A relation where each input has exactly one output.
A set of ordered pairs.
A graph that passes the horizontal line test.
2. In a mapping diagram, what does the set of all input values represent?
The range
The codomain
The domain
The function
3. A mapping diagram uses to show the relationship between input and output values.
4. The set of all possible output values of a function is called the .
5. Consider the following relation: {(1, A), (2, B), (3, A), (4, C)}. Draw a mapping diagram for this relation.
Is this relation a function? Explain why or why not.
6. Every function is a relation.
True
False
7. The range of a function is always equal to its codomain.
True
False
8. Given the function f(x) = 2x + 1, and a domain {0, 1, 2, 3}. Create a mapping diagram for this function and state its range.
Range: