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a function is a one-to-one and many-to one relation
1. One to One -function- 2. One to Many -relation- 3. Many to Many -function-
A function is a relationship that is one-to-one or many-to-one but not one-to-many. Thus, if a and b are in the domain of the function, then their images in the range, f(a) and f(b) MUST be equal.
It is a surjection.
For an algebraic function in one variable, as many as the highest power of the variable.