Suppose a light bulb is attached to a metal coil and a magnet is being passed back and forth through the coil causing the light to shine. what happens if you increase the strength of the polarity of the magnet?
a) the light shuts off
b) the light gets brighter
c) the light gets dimmer

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .