What Defines the Function f from Set A to B?

[owensking]

Homework Statement

A={1,2,3,4,5} and B={1,2,3,4}

Homework Equations

Define the function f: A-->B by the rule

f(1)=1, f(2)=3, f(3)=3, f(4)=2 and f(5)=2

The Attempt at a Solution

What is the image of 2?
What is f(A)?
the codomain of f?
the digraph representing f
the matrix for the inverse relation f-1

 

[HallsofIvy]

Do you understand that these are all testing whether you know the basic definitions? Get your textbook and read the definitions of "image", "codomain", "digraph", etc.

In any case, one of the rules you agreed to abide by when you registered for this forum was not to post problems without showing your own serious attempt at the problem and you have shown no attempt at all.