In couple of words, JPEG is more preferrable for photos, hi-color images, etc. Its feature is in ability to decrease file size by making picture worse (in mathematical meening). When you make .jpg image, you should choose optimal ratio quality/filesize so as decreasing of quality was visually insensible but filesize was smaller for faster downloading.
As fiddleabout said using .gif is better for lineart, logos and any other images where are less than 256 colors. CIF format stores image as a string of "pixels with specified lenghts"
.Gif is good for making animated images, banners.
Heh, it's more difficult to find such info than 5-6 years ago ...
PNG and GIF compete hardly now. Which one will win - time will show.
Funny link -> burnallgifs.org/

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