Name the vertical asymptote(s).✔ x = -1 and x = 2y = -1 and y = 2x = 1/4y = 1/4x = 0y = 0
Name the horizontal asymptote(s).x = -1 and x = -2y = -1 and y = -2x = 1/4✔ y = 1/4x = 0y = 0
because
all real numbersall nonzero real numbersall real numbers except 2/3✔ all real numbers except –1 and 1
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.


Consider the function f(x) = c x , where c is a nonzero real number.
Consider the function f(x) = c x , where c is a nonzero real number.
Consider the following function:How does the graph of this function compare with the graph of the parent function, ?

Which of the following is the function represented by the graph?




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.
Check each that you included in your solution.
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.
The horizontal asymptote cannot be determinedX is x = 0is x = c✔ is y = 0is y = c.
The domain X cannot be determined✔ is all nonzero real numbersis all real numbers except cis all real numbers.
The range cannot be determined✔ is all nonzero real numbersis all real numbers except cis all real numbers.
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