Question regarding onto function

[sachin123]

Hi.
I know what an onto function is.
I found this statement on a problem:
f(x) is a function from a set Z onto itself.

Now does this mean that f(x) is an "onto" function or is the word used just like that(like an english word)?
What if it was:
f(x) is a function from a set Z into itself.
Would it mean its an into function?

Thank You.
I hope someone clarifies this out for me.

 

[vela]

Hi.
I know what an onto function is.
I found this statement on a problem:
f(x) is a function from a set Z onto itself.

Now does this mean that f(x) is an "onto" function or is the word used just like that(like an english word)?

It indeed means f(x) is a surjective function.

What if it was:
f(x) is a function from a set Z into itself.
Would it mean its an into function?

What's an into function?

Thank You.
I hope someone clarifies this out for me.