Graphing Rational Functions Answers
because
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.
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 domain cannot be determined✔ is all nonzero real numbersis all real numbers except cis all real numbers.
The vertical asymptote cannot be determined✔ is x = 0is x = cis y = 0is y = c.
The range cannot be determined✔ is all nonzero real numbersis all real numbers except cis all real numbers.
Consider the following function: [image 1] How does the graph of this function compare with the graph of the parent function, [image 2] ?
Which of the following is the function represented by the graph?
Check each that you included in your solution.
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.
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