Question

The function f: R\(\rightarrow\) R is defined by \[ f(x) = \frac{x}{\sqrt{1 + x^2}} \] is:

• A. surjective but not injective
• B. bijective
• C. injective but not surjective
• D. neither injective nor surjective

Hint:

A function is injective if distinct inputs yield distinct outputs. It is surjective if its range covers the entire codomain.