Digital Cameras allow the photographer the invaluable opportunity to immediately check the quality and composition of a photograph on screen.
Whilst a computer is more reliable for an overall assessment, sharpness can be checked by magnifying the image in camera; this does not alter the picture. Exposure details about the image are also accessible for checking resolution, shutter-speed, aperture and ISO sensitivity - on some cameras accessed by depressing the display button repeatedly to cycle around several options. The photographer can also check for areas where there is no detail or tone in highlights or shadows.
Many cameras, even compacts, have a histogram, a graph for checking exposure balance. If the graph is weighted to the left - the image could be underexposed, to the right - overexposed. Generally a well exposed photograph will show an even balance across the graph with perhaps a slightly higher reading in its centre. However, a great photograph can easily have a histogram that looks wrong.
More recent DSLR cameras now offer 'Live View'. This presents a more accurate impression on screen of how the image will look digitally instead of optically. Exposure information is shown allowing the photographer to make important adjustments before the image is taken.
If in doubt, do not delete! Wait until the photograph is downloaded to a computer before making a decision that you may not be able to undo in camera.

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