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Domain and range
Domain and Range The domain and range of a function are subsets of the real numbers that the function can take on. Domain is the set of all pos...
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Domain and Range The domain and range of a function are subsets of the real numbers that the function can take on. Domain is the set of all pos...
Domain and Range
The domain and range of a function are subsets of the real numbers that the function can take on.
Domain is the set of all possible input values (the domain is often denoted by the letter (x)).
Range is the set of all possible output values.
For example, consider the function (f(x) = x^2).
Domain: The domain of (f(x)) is all real numbers since the square root function is defined for all real numbers.
Range: The range of (f(x)) is also all real numbers since the output of the function is always a real number.
Important Facts about Domains and Ranges:
A function's domain and range are always subsets of the real numbers.
The domain of a function must be a subset of the range.
A function can map the same input to different output values.
A function can never map a real number to a complex number