How do I make the Joystick Analog Stick work like the Mouse Input?

I'm making a golf game with controller support.

The Golf Swing works perfectly with Input.GetAxis("Mouse X"). It takes into effect the speed at which the player moves the mouse. The Range is NOT -1 to 1. It works right.

However, on the controller / joystick, the input is linear and doesn't take the speed at which the player moves the analog stick from right to left. The Range IS -1 to 1. How do I get the joystick axis to work like the Mouse X input where the velocity (change in input / time) is taken into consideration?