Find the maximum and minimum values that the function can take over all the values in the domain for the input. The range is the maximum minus the minimum.
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The "maximum" function.
I assume the question is about the range of a function f. First, determine the domain of the function f. This is the set of all inputs. Use this information to find all the output values of f: that is the range. In most cases, you will not have to evaluate f for each and every input: the nature of f will help you.
The range, usually of a function, is the set of value that the function can take. The integral range is a subset of the range consisting of integer values that the function can take.
The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.
Horizonatal line test is a test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one. A one-to-one function is a function where every element of the range correspons to exactly one element of the domain. Vertical line test is a test used to determine if a function is a function or relation. If you can put a vertical line through graph and it only hits the graph once, then it is a function. If it hits more than once, then it is a relation.