Let A = {CA, NH, IL, OH, SC, WV, PA, TX} and B = {book, table, chair, fork, road, car}. Using at least 5 ordered pairs, specify the following:
- Define a function f from A to B that is one-to-one.
- Define a function g from A to B that is not one-to-one.
- Define a function h from A to B that is onto.
- Define a function α from A to B that is not onto.
- Define a function β from B to A that acts as the inverse of the function f that you created in part a) of this problem.