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 / (4πr^2) has a vertical asymptote at r = 0, meaning the intensity is undefined at the sound source. As the distance r increases, the intensity I decreases toward zero, which is represented by a horizontal asymptote at I = 0. In context, this means that as you move further away from a sound source, the sound intensity drops rapidly and eventually becomes nearly silent.