Cheat sheet for Section 7.1

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Section 7.1 Rational Functions
Cheat Sheet

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Parent Function:______________________
The parameters
must
d:__________
have
don’t need
e: __________
don’t need
f: __________
Points for the Must have at least 4 points on each
side of the vertical asymptote
function:_____________________________
 = −
Vertical Asymptote:______________
=
Horizontal Asymptote:___________
There is always a vertical and
horizontal asymptote.
Range:
ℜ,  ≠ 
________________
ℜ,  ≠ −
Domain: ________________
Set x=0 and solve. If there is no e,
then there is no y-intercept
Y-intercept:_______________________________
This is the same thing
as an x-intercept.
You can use the trace
feature on your calc
to approximate
Find the
Set y=0 and solve. You will have to cross multiply to solve for x.
Zero(s):________________________________
If there is no parameter f, there
is no zero.
Increasing or   > 0, ℎ   . (−∞, −  (−, ∞
  < 0, ℎ   . (−∞, −  (−, ∞
Decreasing:____________________________
The function is either Increasing or Decreasing. It can’t be both

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