Question

glucose is a large molecule that is transported across the cell membrane through a carrier protein, a type of transport protein used during.

Explanation:

Glucose, being a large molecule, can't pass through the cell membrane freely. Carrier proteins are used in facilitated diffusion (a type of passive transport) or active transport. But for glucose, facilitated diffusion (or sometimes active transport like in intestinal cells) uses carrier proteins. The key here is that the transport with carrier proteins for glucose (when moving down concentration gradient, common case) is facilitated diffusion. So the process here is facilitated diffusion (or could be active transport, but facilitated diffusion is more typical for glucose entry into cells in many cases like in red blood cells).

Answer:

facilitated diffusion (or active transport, but facilitated diffusion is a common answer here)