Graphing Rational Functions Answers
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.
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.
Check each that you included in your solution.
Which of the following is the function represented by the graph?
The horizontal asymptote cannot be determinedis x = 0is x = c✔ is y = 0is y = c.
because
The horizontal asymptote cannot be determinedis x = 0is x = cis y = 0is y = c.
Consider the function f(x) = c x , where c is a nonzero real number. The vertical asymptote . The horizontal asymptote . The domain . The range .
The domain cannot be determinedis all nonzero real numbersis all real numbers except cis all real numbers.
Consider the function f(x) = c x , where c is a nonzero real number. The vertical asymptote . The horizontal asymptote . The domain . The range .
The range cannot be determinedis all nonzero real numbersis all real numbers except cis all real numbers.
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