Given: A = [0,1] B = [0,1)

I'm needing to find a bijection between the two sets to show they are equinumerous. My understanding of what is being asked is to find some function f such that f: A -> B and f: B -> A

Am I on the correct track? Other ideas or ways of looking at the problem?

Thanks.

Edit: I figured it out. I'm needing to show that A is injective and surjective of B by some function f