Marianne A.

asked • 10/21/14

Is the function injective or surjective?

Determine whether the function f: NxN --> Z with f(x,y) = (1-x^2)[y/3] is either:
 
a) injective
b) surjective
 
 
 
Injective function
A function f is said to be one-to-one, or injective, of and only if f(a) = f(b) implies that a = b for all a and b in the domain of f. A function is said to be an injection if it is one-to-one.
 
Surjective function
A function f from A to B is called onto, or surjective if and only if for every element b ∈ B there is an element a ∈ A with f(a) = b. A function f is called a surjection if it is onto.

1 Expert Answer

By:

Christopher F. answered • 10/26/14

M.S. in Mathematics with specialization in proof-writing.

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