Graphing Rational Functions Answers
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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 functionwhere 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.
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Check each that you included in your solution.
A
The vertical asymptote is r = 0.B
The intensity is undefined at the source.C
The horizontal asymptote is I = 0.D
As the distance from the source increases, the intensity goes to zero.E
The intensity decreases as the distance increases.Did you find these answers helpful?
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