I don't want to be mean or over critical but your eyes should have more dynamic range than your sensor. So if this is what your eyes saw, you should get it checked out.
The human eye does have a far wider dynamic range than any camera - but the range is not all available at the same time.
The eye - in conjunction with the brain - is constantly adjusting exposure, focus, colour temperature, etc, so that we believe our eyes perform better than they actually do.
For example, we have a blind spot in our eye that we are not aware of because our brain fills in the details (go
here to find yours).
So by this philosophy all our photographs should have a big, fuzzy patch somewhere in them so that they accurately reflect what we see.
But what is 'accurate'?
We quite often see things that aren't there, or not see things that are. We all see colours slightly differently, and people with colour deficiencies see them way different. Some people have 20/20 vision, some are long sighted, some are short sighted and some are almost blind.
In short, none of us see things in quite the same way as our neighbour.
And then we can see things in our 'minds eye'. We can have ideas or 'visions' and try to make them real.
Quite a few different ways of seeing there.
And cameras 'see' things differently again (and also have enough electronics in them to make them smarter than some of the people using them, apparently).
So when you take a picture what are you doing? Showing things as they are? Showing things as you see them? Showing things as the engineer who designed your camera though you should see them? Or showing things how you want others to see them so that they can have a similar experience to yours?
This shot was taken just before the sun came up. The field was on the opposite side of the hill and so was in deep shadow.
Some things (the leaves overhead) where in silhouette. Other things (the grass along the bottom edge) were just picking up enough light to make them look luminous.
I think the image (which as Chris points out is correctly exposed) reflects pretty accurately my experience of looking to the East as the sun was rising whilst standing in a field. I was at the boundary of night and day if you like - which is a big clue as to what this image is all about (as long as you can be bothered to actually thing about what you are looking at rather than expecting the image to do all the work for you

).