About the onto functions If the range of a function belongs to all real numbers . Is the function necessarily onto?
My answer: No, we cannot say so until we know the co domain.
If the function is onto and the range of the function is every real number then we can conclude that domain of it is R. This is only valid if f : R -> R. Else in all other cases we can't guess the function domain.
If the function is onto and the range of the function is every real number then we can conclude that domain of it is R. This is only valid if f : R -> R. Else in all other cases we can't guess the function domain.