Grade 10 Math Functions and Relations worksheets

📚 Topic Summary

In Grade 10 math, functions and relations are fundamental concepts. A relation is simply a set of ordered pairs. A function, on the other hand, is a special type of relation where each input (x-value) has exactly one output (y-value). We often use equations, graphs, and tables to represent functions and relations. Understanding how to identify, represent, and analyze these is key to success in algebra and beyond.

🧮 Part A: Vocabulary

Match the term with its definition:

1. Term: Domain
2. Term: Range
3. Term: Function
4. Term: Relation
5. Term: Vertical Line Test

1. Definition: A set of ordered pairs.
2. Definition: A test used to determine if a graph represents a function.
3. Definition: The set of all possible output values (y-values).
4. Definition: The set of all possible input values (x-values).
5. Definition: A relation where each input has exactly one output.

(Match the terms and definitions. E.g., 1 matches with X, 2 matches with Y, etc.)

✍️ Part B: Fill in the Blanks

A __________ is a relationship between sets of values. A __________, however, is a special type of relation where each input has only __________ output. We can use the __________ to check if a graph represents a function. The set of all possible input values is called the __________, and the set of all possible output values is called the __________.

(Possible answers: relation, function, one, vertical line test, domain, range)

🤔 Part C: Critical Thinking

Explain, in your own words, the difference between a function and a relation. Provide an example of a relation that is NOT a function.