#### Question

Let `f = {(x, x^2/(1+x^2)):x ∈ R}` be a function from **R** into **R**. Determine the range of *f*.

#### Solution

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)

Is there an error in this question or solution?

Solution Let `F = {(X, X^2/(1+X^2)):X Element R}` Be a Function from R into R. Determine the Range of F. Concept: Some Functions and Their Graphs.