How can you bracket exposure with an auto-exposure camera?
Bracketing is used to create HDR (High Dynamic Range) images. It's usually 3 or 5 images, one at a normal exposure, one (or two) under-exposed to bring out definition in the bright areas, one (or two) over-exposed to bring out definition in the darker areas. Some point-and-shoot cameras even have the ability to manually bracket by setting the exposure lower or higher, but not sure if they have the ability to automatically do it like most DSLR cameras do. All depends on your camera and if you have that much control over the exposure. If you just try to change the speed or the aperture, your camera will probably try to compensate the other to get a normal exposure.
Most likely, you can change the EV settings on your camera and that will be the only way to do it.
Some auto-exposure cameras have a manual setting where you can adjust the brightness, also called 'exposure comensation'. Try adjusting that, taking a shot, then readjusting, taking another shot, etc. Also, check to see if your camera allows you to select the ISO. Adjust that from 100 to 200 to 400 and so on; each interval changes the sensitivity one stop.
Here is a real basic description of Bracketine.
Bracketing is when you take several shots while under and overexposing your shots. -2 -1 N +1 +2 Unless you have manual controls, you won't be able to bracket. You need to either be able to adjust the aperture or shutter speed to bracket. What kind of camera do you have?