Based on the table and your knowledge of waves, what can you conclude about the wavelength of mechanical waves compared to electromagnetic waves?

a) mechanical waves have a greater amplitude
b) mechanical waves tend to have longer wavelengths
c) mechanical waves tend to have shorter wavelengths
d) mechanical waves travel faster than electromagnetic waves

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 .