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Q: What is a mapping or pairing of input values with output values?

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A mapping. It need not be a function.

A one-to-one function, a.k.a. an injective function.

No. If an input in a function had more than one output, that would be a mapping, but not a function.

A function, f, is usually a mapping from a set of input values. This set, whose elements are often denoted by x, is called the domain.A function, f, is usually a mapping from a set of input values. This set, whose elements are often denoted by x, is called the domain.A function, f, is usually a mapping from a set of input values. This set, whose elements are often denoted by x, is called the domain.A function, f, is usually a mapping from a set of input values. This set, whose elements are often denoted by x, is called the domain.

It is simply a mapping. It could be a function but there are several conditions that need to be met before the mapping can become a function and there is no basis for assuming that those conditions are met.

That's a proper function, a conformal mapping, etc.

The differnce between input and output is input=in output=out The differnce between input and output is input=in output=out

something

The domain is the set of values of the input while the range is the set of output values.

This is true. If a given input value yields four output values that relationship can be best described as a relation.

A function maps "input" values to "output" values. A zero of a function is any "input" value that will map to an "output" value of zero. For example, a value of "x" for which the equation f(x) = 0 is true.

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