I agree with InspectorD.
It does look like you have sinking slab problem, which is unfortunate, specially since you've only owned the home for 3 years!
But you shouldn't be alarmed at this point. It can be fixed, and the sooner you do it. the less expensive it will be.
Foundation settlement, as you noticed, tend to get worse overtime.
Besides "mud jacking", there are also slab pier systems that can not only permanently stabilize the foundation, but also have the potential to lift the slab back into its original position, leveling your floors and partition walls.
These piers can be installed less disruptively and will usually outlast mud jacking because they will support the structure past the problem soil that caused the foundation to sink in the first place.
This is what they look like:
Call a few good foundation repair companies in your area. Many good companies perform free inspections and this way you will have expert opinions and a few options to chose from. Check their references, their standing with the local BBB. Make an informed decision.