Question: Identify the vertical asymptote(s) of the function.f(x)= x+2/ x^2-3x-4

Answer: C. x=-1F. x=4

Question: Which is the graph of f(x)=x-1/x^2-x-6

Answer: A

Question: Shilpa's gym membership includes a one-time fee of $20. She then pays a discounted fee of $5 for each visit. The function that shows her average cost after x visits is:f(x)=20+5x/xRecall the general form of a rational function:f(x)=(amx^m+...+a1x+a0)/(bnx^n+...+b1x+b0)Which statement defines the horizontal asymptote?

Answer: B. m = n, so y = am / bn is the horizontal asymptote.

Question: The horizontal asymptote is

Answer: y=5

Question: The graph of the function has a vertical asymptote ofThe graph of the function has a horizontal asymptote of

Answer: x=0y=0

Question: The domain of the function isThe range of the function is

Answer: all nonzero real numbers (both of them)

Question: Consider the function g(x) = 10/xThe vertical asymptote is x = The horizontal asymptote is y =

Answer: x=0y=0

Question: Select all that are true for g(x) = 10/x.

Answer: B, D, E, F

Question: Which is the graph of g(x)=10/x

Answer: C

Question: Which is the graph of y=2/x+1-6

Answer: A

Question: Consider the following equation:f(x)=x^2+4/4x^2-4x-8Name the vertical asymptote(s)...because

Answer: x=-1 and x=2E. this is where the function is undefined

Question: Name the horizontal asymptote(s)...because

Answer: y=1/4B. m=n

Question: Consider the following function:f(x)=2x/3x^2-3What is the domain of the function?

Answer: all real numbers except -1 and 1

Question: Which of the following describes the end behavior of f(x)=2x/3x^2-3

Answer: A, B

Question: Which of the following could be the function graphed?

Answer: D

Question: Identify the graph of f(x)=10-10x^2/x^2

Answer: B

Question: Consider the following function:f(x)= 25-x^2/x^2-4x-5

Answer: B, C, D

Question: Consider the function f(x) = c/x, where c is a nonzero real number.

Answer: The vertical asymptote: is x=0The horizontal asymptote: is y=0The domain: is all nonzero real numbersThe range: is all nonzero real numbers

Question: Consider the following function:y= 1/(x+5) +2How does the graph of this function compare with the graph of the parent function, y= 1/x?

Answer: B. It is shifted left 5 units and up 2 units from the parent function.

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

Answer: D

Question: 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 functionI=P/4pier^2where P is the power of the sound. Explain the behavior of the graph of I and what it means in context.

Answer: Check each that you included in your solution.The vertical asymptote is r = 0.The intensity is undefined at the source.The horizontal asymptote is I = 0.As the distance from the source increases, the intensity goes to zero.The intensity decreases as the distance increases.