Function that is defined for all reals and is continuous but not uniformly continuous

Question

To grasp the concept of Uniform Continuity, I was looking at examples from previous questions of functions that are continuous on a defined region A, but not uniformly continuous.

But that begs the question about whether or not there exists a function that is defined for all x ∈ R, that is continuous, yet is not uniformly continuous? I couldn't find any such examples, does such a function exist?

Answer 1

$()= x^2$

Thanks to Elchanan Solomon.