Function Domain & Range Calculator
Find the domain and range of algebraic functions including rational, radical, and logarithmic functions
About this calculator
The Function Domain & Range Calculator is a powerful mathematical tool that determines the domain (all possible input values) and range (all possible output values) for various algebraic functions. This calculator handles complex function types including rational functions with restrictions, radical functions with square roots, and logarithmic functions with specific constraints. It's essential for students, teachers, and professionals working with advanced mathematics, calculus, and function analysis to quickly identify valid input and output values.
How to use
Enter your algebraic function in standard mathematical notation using variables like x, y, or other letters. The calculator accepts rational functions (with fractions), radical functions (with square roots), and logarithmic functions. Click calculate to instantly receive the complete domain and range analysis with clear explanations of any restrictions or limitations.
Frequently asked questions
What types of functions can this calculator analyze?
The calculator works with rational, radical, logarithmic, polynomial, exponential, and trigonometric functions, handling complex algebraic expressions with multiple operations.
How does the calculator handle function restrictions?
It automatically identifies restrictions like division by zero, negative values under square roots, and logarithms of non-positive numbers to determine valid domains.
Can I input functions with multiple variables?
The calculator primarily focuses on single-variable functions. For multivariable functions, specify which variable you want to analyze for domain and range.