Question

Let  f = {( X, X² / 1 + X² ) :X ∈ R}

be a function from R into R. Determine the range of f.

Answer 1

The range of f is the set of all second elements. It can be observed that all
these elements are greater than or equal to 0 but less than 1.
[Denominator is greater numerator] Thus, range of f = [0, 1)