Sound intensity, I, from a spherical source is a function of the distance, r, from the source of the sound. It is represented by the function uppercase I = StartFraction uppercase P Over 4 pi r squared EndFraction where P is the power of the sound. Explain the behavior of the graph of I and what it means in context.

Answer:

The function I = P / (4πr²) is a rational function. It has a vertical asymptote at r = 0, which means the sound intensity is undefined at the source. It also has a horizontal asymptote at I = 0, indicating that as the distance (r) from the sound source increases, the intensity (I) decreases and approaches zero.