rational functions Flashcards
Y=k/x
Inverse variation
Y=kx
Direct variation
Name the asymptotes of the graph of y=1/x
Y=0. And x=0
What is the domain of f(x)=1/x
ARN except x=0
What is the range of f(x)=1/x
ARN except y=0
Describe the transformation: y=(1/x)-5
Down 5
Describe the transformation: y=1/(x-5)
Right five
Given y=N/D,
How do you find domain?
ARN And set D not=0
How do you find pod?
Set canceled factors =0
How do you find y intercepts
Set x=0 into both top bottom
How do you find x intercepts
Set top=0 and solve for x
How do you find vertical asymptotes
Set denom=0. (Use simplified)
How do you find horizontal asymptotes
Compare degree of the top with degree of the bottom
If degree top is greater than degree bottom, then horizontal asymptote is
Not existent
If degree top is same as degree bottom then horizontal asymptote is
Y=Leading coefficient top over Leading coefficient bottom
If degree top is less than degree bottom then horizontal asymptote is
Y=0
When will there be a slant asymptote?
When degree top is one more than degree of the bottom
How do you find a slant given that it does exist
Do the long division, set answer equal to y without remainder.
