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