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

Explanation

We can see that value of given functon will always lie between 0 and 1

∴ the value of range of `y=(x^2)/(1+x^2)​` is always positive

Also, it lies between 0 and 1

Hence,Range is any positive integer between 0 and 1 with 0 included.

Thus, Range of `f=[0,1)`