The function is
.
Differentiate the function with respect to
.

Therefore, the derivative of the function has the same sign for all
in its domain.
Consider
.
Substitute
in
.

Substitute
in
.

Since
, many different
- values yield the same
-value.
Therefore, the function
is not one-to-one.
The function is not one-to-one, because many different
- values yield the same
-value.