Explain why open pipes are preferred to closed pipe in the production of music-

The frequencies of sounds made by these two types of instruments are different because of the different ways that air will move at a closed or open end of the pipe. Open pipes do not produce superior tone than closed (or stopped) pipes, therefore different types of pipes are used to produce different tonal qualities.

Explanation:

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 .