A Power function raised x to specific power.
It has an interesting property when x is between 0 – 1, the result will be always between 0 – 1. Do take note Power function will not preserve the sign of x, it may be necessary to calculate the sign beforehand.
What Power does is to change the curve of x to favor certain values.
This is the curve for using a joystick to aim at something. Typically when gamers want to have a fast movement on analog stick, They would push the analog stick to max. Using the Power function we can allocate 80% of the analog controls to slower movement, so gamers would have more control over aiming, yet allow the quick movement by pushing the analog stick to max.
Power is also very commonly used in graphics, We could use it to change color curves, contrast of images, fade off of lighting equation/fog/glows and many more.