This video goes over the different file formats that are most commonly used for design.
These include understanding the difference between vector and raster file formats, as well as lossy and lossless file formats.
With there being so many different formats to choose from knowing which one is right for your situation isn't always easy. Knowledge is definitely power when it comes to exporting files for clients, so hopefully this video will be helpful.
As always if you have more questions, ask them in the comments section!