# Cheat sheet for Section 7.1

```Section 7.1 Rational Functions
Cheat Sheet
๐
๐ฆ=
+๐
๐ฅ+๐
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:_____________________________
๐ฅ = −๐
Vertical Asymptote:______________
๐ฆ=๐
Horizontal Asymptote:___________
There is always a vertical and
horizontal asymptote.
Range:
ℜ, ๐ฆ ≠ ๐
________________
ℜ, ๐ฅ ≠ −๐
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 ๐๐ ๐ &gt; 0, ๐กโ๐ ๐๐ข๐๐๐ก๐๐๐ ๐๐  ๐๐๐. (−∞, − ๐ (−๐, ∞
๐๐ ๐ &lt; 0, ๐กโ๐ ๐๐ข๐๐๐ก๐๐๐ ๐๐  ๐๐๐. (−∞, − ๐ (−๐, ∞
Decreasing:____________________________
The function is either Increasing or Decreasing. It can’t be both
```