Range definition in math3/20/2024 The Codomain is actually part of the definition of the function.Īnd The Range is the set of values that actually do come out. The Codomain is the set of values that could possibly come out. The Codomain and Range are both on the output side, but are subtly different. For example, if the interval is from 6 to 20, we write 6, 20. Or if we are studying whole numbers, the domain is assumed to be whole numbers.īut in more advanced work we need to be more careful! Codomain vs Range Step 1: We write the first and last number of the interval, which are the endpoints of the interval.Usually it is assumed to be something like "all numbers that will work".In other words, the range of a function is the set of all values that the function can take on. But, more commonly, and especially when dealing with graphs on the coordinate plane, we are concerned with functions, where each element of the domain is associated with one element of the range. Range is a fundamental concept in mathematics that refers to the set of all possible output values of a function. Yes, but in simpler mathematics we never notice this, because the domain is assumed: The domain is the set of, and the range is the set of are associated with more than one range elements, so this is. So, the domain is an essential part of the function. In this case the range of g(x) also includes 0.Īlso they will have different properties.įor example f(x) always gives a unique answer, but g(x) can give the same answer with two different inputs (such as g(-2)=4, and also g(2)=4) Example: a simple function like f(x) = x 2 can have the domain (what goes in) of just the counting numbers Įven though both functions take the input and square it, they have a different set of inputs, and so give a different set of outputs.
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