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If \(f:A\to B\) is a function and \(x\in A\), what is \(x\) called?

Answer and explanation

Correct answer: Input

Since \(x\) is an element of the domain \(A\), it is the input, or independent variable, of the function. Its image \(f(x)\) is the output. The codomain is \(B\), whereas the range is the set of actual values \(f(A)\). Exam tip: an element taken from the domain is the input, and its image is the output.

Related tags

Relations And FunctionsFunctionsInputDomainCodomainRangeFunctions As A Special Kind Of RelationMathematics

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