A = {1,2,3} and B = {a,b,c}, and let f: A B
A = {1,2,3} and B = {a,b,c}, and let f: A -> B
(a) Give an example of a one to one function from A to B. Briefly explain why your example is a 1-1 function.
(b) How many one to one functions from A to B are there? Explain.
(c) Define a function f^-1, for some function f from A to B.
(d) Is the function g: Z -> Z defined by g(n) = [n/2] a one to one function? Explain.
This solution is comprised of a detailed explanation to answer the following: -
(a) Give an example of a one to one function from A to B. Briefly explain why your example is a 1-1 function.
(b) How many one to one functions from A to B are there? Explain.
(c) Define a function f^-1, for some function f from A to B.
(d) Is the function g: Z -> Z defined by g(n) = [n/2] a one to one function? Explain.
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