Graphing Rational Functions Answers
Name the vertical asymptote(s).
because
Name the horizontal asymptote(s).
because
Which of the following could be the function graphed?
Identify the graph of?
Consider the following function:Which of the following are correct? Check all of the boxes that apply.
The vertical asymptote .
Consider the following function:How does the graph of this function compare with the graph of the parent function, ?
The graph approaches 0 as x approaches infinity.The graph approaches 0 as x approaches negative infinity.The graph approaches 2/3 as x approaches infinity.The graph approaches –1 as x approaches negative infinity.
The horizontal asymptote .
Check each that you included in your solution.
The domain .
The range .
Question text not available
Question text not available
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.
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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