The space of all continuous real functions with compact support

Question

Let $\mathbb{X}$ be a Locally Compact Hausdorff Topological Space.

Let $C_c(\mathbb{X})$ be the space of all continuous real functions with compact support.

I am looking for a good reference for this space $C_c(\mathbb{X})$.

Is $C_c(\mathbb{X})$ separable?