Graphing Rational Functions

Question 1

How does the graph of compare to the graph of the parent function ?

Revolt · Accepted Answer

g(x) is shifted 5 units right and 2 units up from f(x).; g(x) is shifted 5 units left and 2 units down from f(x).

Question 2

Which statement describes the behavior of the function ?

Revolt · Accepted Answer

The graph approaches 0 as x approaches infinity.

Question 3

What is the horizontal asymptote of ?

Revolt · Accepted Answer

y = –2

Question 4

What is the horizontal asymptote of the function ?

Revolt · Accepted Answer

y = 0

Question 5

Which statement describes the domain of the function ?

Revolt · Accepted Answer

all real numbers except x = –1 and x = 1

Question 6

What is the domain of the function ?

Revolt · Accepted Answer

all real numbers except 2 and 4

Question 7

Which statement describes the behavior of the function ?

Revolt · Accepted Answer

The graph approaches –3 as x approaches infinity.

Question 8

What are the vertical and horizontal asymptotes for the function ?

Revolt · Accepted Answer

horizontal asymptote: y = 3vertical asymptote: x = –2, x = 2

Question 9

What are the vertical and horizontal asymptotes of ?

Revolt · Accepted Answer

horizontal asymptote at y = 2, vertical asymptote at x = 1

Question 10

Which function has no horizontal asymptote?

Revolt · Accepted Answer

f (x) = StartFraction 2 x squared Over 3 x minus 1 EndFraction

Graphing Rational Functions Answers