[Math] Injective function that is not surjective

Question

I'm trying to find an example of a continuously differentiable function from $\mathbb{R}$ to $\mathbb{R}$ that is injective but not surjective.

I can easily find one from $\mathbb{Z}$ to $\mathbb{Z}$ but I'm having difficulty finding one for the reals.

Answer 1

Hint: It might be easier than expected.