Relations, Functions, and Matrices 4.4

Associates with each real number x the greatest integer less than or equal to x.

Associates with each real number x the smallest integer greater than or equal to x.

A function whose range of f equals the codomain of f.

A function in which no member of T is the image under f of two distinct elements of S.

A function which is both one-to-one and onto.

Cycles which have no elements in common.

A permutation that maps each element of A to itself.

A permutation on a set that maps no elements to itself.