Algebra
Confusing Domain and Range
Students call the possible -values the range and the possible -values the domain.
Quick check
Why students make it
Students see both as lists of allowed values, so they mix up inputs and outputs. Graphs can make this harder because the -axis and -axis are both visible at the same time.
The rule done right
The domain is the set of input values, usually the allowed -values. The range is the set of output values, usually the resulting -values.
Related resources
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Math, Domain and Range Infographic -
Functions Infographic -
Math, The Vertical Line Test Infographic -
Math, Function Notation Infographic -
Math, Inverse Functions Infographic - Functions & Relations Cheat Sheet
- Domain & Range of Functions Cheat Sheet
- Inverse Functions Reference Cheat Sheet
- Piecewise Functions Reference Cheat Sheet
- Rational Expressions Cheat Sheet
- Math, Domain, Range, and Graphs of Functions Worksheet
- Precalculus, Rational Functions and Asymptotes Worksheet
- Quadratic Functions and Parabolas Worksheet
- Rational Expressions and Equations Worksheet
- Logarithm Explorer Tool
- Inequalities & Interval Grapher Tool
- Quadratic Equation Solver Tool
- Polynomial & Rational Functions Lab Lab
- Function Transformations Lab Lab
- Trigonometric & Polar Functions Lab Lab
- Quadratic Functions & Parabolas Lab Lab