Answer:


Explanation:
f is continuous because is the composition of two continuous functions:
(it is continuous in the real numbers)
(it is continuous in the domain (0,1))
It is bounded because

And it is not uniformly continuous because we can take
in the definition. Let
we will prove that there exist a pair
such that
and
.
Now, by the archimedean property we know that there exists a natural number N such that

.
Let's take
and
. We can see that

And also:

And we conclude the proof.