Aren't elected officials supposed to represent the people?

The last time I checked, when politicians run for office and their elected to a particular office, aren't they supposed to represent the people who voted for them?

I thought that's how it was supposed to work. I'm just trying to figure out where all the push for legislation around the country, and very specifically Pennsylvania, for more gun control and more restrictions is coming from. Outside of the two liberal cities (Philadelphia and Pittsburgh), the rest of the state is made up of a lot of hunters, sportsmen, and generally freedom-enthusiasts. Since most people in PA seem to think more gun control and restrictions are not the answer, I want to know, specifically, why there is a constant stream of legislation attempted to be pushed through in favor of it.

The same can be said about government-controlled healthcare. Who wants the government "adjusting my income, automatic enrollment, or wage garnishments" according to Mrs. Clinton, or simply taking away our freedom to choose our levels of coverage?

I also want to start seeing a list of the politicians who are authoring, co-authoring, and supporting these bills because it should be public knowledge as to who is doing what, exactly, in their respective levels of government. These politicians need to be held accountable for their legislation and that information needs to be available to the public for evaluation come election time.

I was under the impression these people were elected to ensure my (the collective group of people who voted this individual in included) views, beliefs, and values were protected, preserved, and pushed through in legislation, not that these elected leaders can then blow in the wind on the issues and pull a popularity contest with the likes of Hollyweird or any other fad group.

Would anyone else be in favor having a documented list of where each candidate stands on each position and if that person was elected and ever voted against those said positions, he/she could be removed from their office? There's simply no accountability to the public these people represent and that has to change.