Consider the following functions and determine if they are bijective. [A function is said to be bijective or bijection, if a function f : A → B is both one-to-one and onto.] f : R × R → R, f(n, m) = 2m − n
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One-to-one function is a function f that maps distinct elements to distinct elements.
Onto function is a function f that maps an element x to every element y.
The given function is not one-to-one: for example:
So, the function is not bijective.