Domain and Range Calculator
Find the domain and range of any function. Enter f(x) or y = expression and get step-by-step analysis.
Supported: +, -, *, /, ^, sqrt(), sin(), cos(), tan(), ln(), log(), |x|, e^x
Domain
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Range
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Step-by-Step Analysis
Enter a function and click "Find Domain & Range" to see the step-by-step analysis.
What is Domain?
The domain is the set of all possible input values (x) for which the function is defined.
Common Restrictions:
- Denominator cannot be zero
- Inside square root must be ≥ 0
- Logarithm argument must be > 0
What is Range?
The range is the set of all possible output values (y) that the function produces.
Finding Range:
- Analyze function behavior
- Find minimum and maximum values
- Consider asymptotes and limits
Interval Notation
- (a, b): All numbers between a and b, exclusive
- [a, b]: All numbers between a and b, inclusive
- (-∞, a): All numbers less than a
- (a, ∞): All numbers greater than a
- ∪: Union of intervals