The servo will turn to the point indicated by the transmitter stick when connected to a powered receiver. It will swing as far as it is designed to bearing in mind that not all transmitters offer exactly the same output signals for the same stick movement.
Hooking any servo to a servo tester will give useful test results, but these almost certainly will not match what the transmitter will give.
The signal variation that you get from twiddling the tester knob is usually greater than that via the radio - the radio is intended to give a normal swing of 90 degrees which uses the middle 1/3 of the servo pot, leaving an adequate amount of "spare" at each end to allow the same servo to survive different radio systems.
When not powered, the servo can be manually swung as far as its mechanical stops allow. Powering it from one of these extremes and giving it a signal, (radio or tester) it will drive to whatever position the signal indicates it should be at.