As a wave travels from one spring to another spring with a different mass, its wavelength decreases by 25%. Which statement describes the change in the speed of the wave? a. The speed decreases by 25% because speed and wavelength are inversely proportional.

b. The speed increases by 25% because speed and wavelength are inversely proportional.

c. The speed increases by 25% because speed and wavelength are directly proportional.

d. The speed decreases by 25% because speed and wavelength are directly proportional.

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 .

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