18. which properties of light define light as a wave? (points: 5)

Light is an electromagnetic radiation. It has both particle and wave nature. As a wave, light has amplitude, wavelength and frequency. These factors define a wave. Also, light undergoes interference and diffraction which are wave phenomena. On the other hand, light some times behaves as a particle. It is composed of photons. Each photon is a quanta of energy. Photoelectric effect can be explained on the basis of particle behavior of light.

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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 .