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Overview
Grade 10
Develop algebraic and graphical reasoning through the study of relations
9. Interpret and explain relationships among data, graphs and contexts
9.3 Domain and range of a function
Domain and Range of a Function
The domain is the set of inputs a function accepts; the range is the set of outputs it produces.
What You'll Learn
The domain is the set of allowed inputs (x); the range is the set of outputs (y).
To find the domain, exclude inputs that divide by zero or take a square root of a negative.
A graph shows the range: read how high and how low the curve reaches.
For an inverse function, the domain and range swap.
Interval notation uses brackets for included endpoints and parentheses for excluded ones.
What You'll Practice
1
Finding domain and range from discrete point graphs using list notation
2
Stating domain and range from continuous curves using interval notation
3
Determining domain and range from graphs with arrows indicating infinity
4
Applying the vertical line test to classify relations and functions
5
Working with graphs containing hollow circles and closed dots at endpoints
Why This Matters
Understanding domain and range is essential for analyzing any function you encounter in algebra and calculus. These concepts help you determine valid inputs and outputs, which is critical for solving real-world problems in physics, engineering, and economics where variables have meaningful restrictions.
Before You Start — Make Sure You Can:
This Unit Includes
18 Video lessons
Learning resources
Skills
Domain
Range
Functions
Relations
Vertical Line Test
Interval Notation
Set Notation
Graphing
MB Curriculum Aligned