Well, while I was testing out a scene I noticed that in the render (and even in 3D view) that the camera doesn't pick up anything after a certain distance and everything kind of just disappears.

I was wondering if anyone can tell me how to increase the camera's range of perception (see farther.)

I've looked for videos about it and even searched the blenderwiki manual, but I haven't found anything yet.

Can this be done?

ClipStart and ClipEnd are your friends. They mark the front and back of the viewing frustrum (pyramid-like view volume). And define the resolution of the Z buffer.

Setting them properly for a scene is important so you can a) see everything and b) have things properly ordered by depth (no Z fighting)