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Domain and Range

The domain of a function is the set of valid inputs (x-values); the range is the set of outputs (y-values) it produces. Learn how to find each and what to exclude.

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What domain and range mean

A function's domain is every input it accepts; its range is every output it can produce. For f(x) = 1/x, the domain excludes 0 (division by zero), so the domain is all real numbers except 0.

How to find them

To find the domain, exclude inputs that cause division by zero or even roots of negative numbers. To find the range, determine which outputs the function actually reaches.

Frequently asked questions

1

What are domain and range?

The domain of a function is the set of all input values (x) for which the function is defined. The range is the set of all output values it can produce.

2

How do you find the domain and range?

Exclude inputs that cause division by zero or the even root of a negative number — those are outside the domain. The range is the set of outputs the function actually attains.

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