Normally you would have one of the two configurations...
1) A Cable-in outside connector and a wall-plate near the TV w/ a F-type connector and small push-type switch with a light (this is the amplifier/input selector). Light on amp is on w/ aerial antenna, light off it's using the outside cable source.
2) You could have everything above but you also have a SAT-TV connection outside and a 2nd connection coax connection near the TV. This is a direct path cable that would hook up to your satellite receiver box.
You should be able to hookup the cable feed outside, turn off the amp (no light), and connect the TV to the wall plate. (in theory)
Here is a pic of a common amp/switcher...