Graphing Rational Functions

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

A

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

A

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

A, B

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

B

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

B, C, D

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

B, D, E, F

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

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

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/x Recall the general form of a rational function: f(x)=(amx^m+...+a1x+a0)/(bnx^n+...+b1x+b0) Which statement defines the horizontal asymptote?

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

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

C

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

C. x=-1 F. x=4

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

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.

Which of the following could be the function graphed?

D

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

D

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

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

The domain of the function is The range of the function is

all nonzero real numbers (both of them)

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

all real numbers except -1 and 1

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

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

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

x=0 y=0

The graph of the function has a vertical asymptote of The graph of the function has a horizontal asymptote of

x=0 y=0

Name the horizontal asymptote(s). ..because

y=1/4 B. m=n

The horizontal asymptote is

y=5