Write a rational function with no vertical asymptotes and no holes. explain.

The following function is defined for any value of x:
 f (x) = lxl / (lxl + 1)
 For this case, we observe that the denominator can never be zero because we are in the presence of an absolute value.
 So, for example, for x = -1 we have the denominator is:
 l-1l + 1 = 1 + 1 = 2
 The domain of the function will then be:
 x = (- inf, inf)
 
 a rational function with no vertical asymptotes and no holes is:
 f (x) = lxl / (lxl + 1)

What exactly is your question?