- B(n) are each functions with domain N. Describe the image of each, and show that the second function is one-one, while the first is not. (vi) Use quantifiers to negate the statements 'f is injective', 'f is surjective', 'f is bijective'. 1 ,f(A) is the set of all fathers, and since f(A) =I= B,j is not onto. Nor is f injective, because different humans may have the same father. On the other hand, the functions g 1 , g 2 are one-one but not onto. 2, f is onto, since B was given to be the shadow of A.

# A Comprehensive Textbook of Classical Mathematics: A by H. B. and P. J. Hilton Griffiths

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