Discrete Mathematics Test 3 Review

If f:x->y is a function, what is the range of the function?

Set of every y in Y where there exists an x in X such that f(x)=y.

What is onto?

For each y in Y, there exists an x in X such that f(x)=y

What is 1-1?

For each y in the range of f, there is exactly on x in X. One input for every output.

What does it mean to say that f:x->y is a function

For every x, there exists a y such that f(x)=y

If f:x->y is a function, what is the domain of f?

X

If f:x->y is a function, what is the codomain of f?

Y