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A function is a rule which assigns exactly one output f(x) to every input x.
It assigns exactly one output value for each input value.
It is a injective relationship. However, it need not be surjective and so will not be bijective. It will, therefore, not define an invertible function.
It is a bijective function.
The relationship is called a surjection or a surjective function.
I found two answers for this question. A function is a rule that assigns to each value of one variable (called the independent variable) exactly one value of another variable (called the dependent variable.) A function is a rule that assigns to each input value a unique output value.
function
It is a mapping which assigns one or more outputs to each set of one or more inputs. A relationship need not be a function.
A Function
A function.
is unknown
This is true. Furthermore, functions can be broken down into one-to-one (each input provides a different output), and onto (all of Y is used when f(x) = y).