Think about the fact that water is most dense at 4°c, and the fact that ice is much less dense than water. a. what would happen to a lake or a pond in the winter (in a cold climate) if this wasn’t the case?

and 1and 1

what is the actual question though?

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 .