I have a 2005 Saturn Vue. When I hit the brakes and let off the pedal all the way, I have no problem. But, when slowing down and only letting off the pressure I put on the pedal a little and then applying pressure again without letting the pedal up all the way, the travel on the pedal gets larger in order to stop. This increases with each pedal press until it finally hits the floor. I am thinking it is a problem with the master cylinder, but want to make sure before pulling anything apart. Thanks for the help.

Replace the brake master cylinder booster. Big black round thing mounted to the fire wall behind the brake master cylinder.

if you hit a pothole at any time recently then you could have jarred a wheel sensor I would take it in and let the dealer service or a good brake shop look at it..

Unless you have a leak in the system, It should work. The master should be full of fluid, somebody pumping up the pedal and somebody cracking the plug with the pedal down, you might have to do this a bunch of times to get it going, keep an eye on the reservoir and keep it full, If the pedal never pumps anything up, something is clogged or leaking. Look for leaks, But it should be squirting out all over the place. If the pressure plate is the problem or the throwout bearing, then bleeding the clutch is the last thing on your list. Hope this helps.

I would start by removing the wheels and finding the bleed screw or bolt.
Pour a little brake fluid on the bolt to free up the rust that will form over time.
Then use a box end wrench to open the bleeder.

Fill the master cylinder with brake fluid and have some ready to add as you bleed the brakes.

Have an assistant push down on the brake pedal until it bottoms out and fluid squirts out of the bleeder screw area.

Watch your eyes.

Then tighten the bleeder screw.

Have them pump up the brakes again.

Do this in sequence from the furthest wheel from the master cylinder to the closest, and you'll be done.

your clutch needs ajusting

Check the brake light switch, it might be bad.
It's under the dash, near the top of the brake pedal, connected to a bracket.

thee are shims that cme on the car new if these are not there it will click when brakes are applied

key on hit brake pedal 3 times not the gas

Is it possible that you are hearing the abs pump running in the engine compartment? It sounds like an ABS problem with one of your wheel speed sensors.

The vibration is caused by the rotors being warped. Remove the front tires and check the front brake pads. Replace if needed. This is a pretty straight forward job. The rotors are "fall off" rotors and you won't need anything special tool wise.