A basketball is at rest on the floor. It is heated with a Bunsen burner to make it warmer. A student argues that the thermal energy in the basketball could be converted to kinetic energy and the basketball will
spontaneously move upwards. This claim violates which law of nature?

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 .