#### Cheat sheet for Section 7.1

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Cheat sheet for Section 7.1

Section 7.1 Rational Functions
Cheat Sheet
π
π¦=
+π
π₯+π
Parent Function:______________________
The parameters
must
d:__________
have
donβt need
e: __________
donβt need
f: __________
Points for the Must have at least 4 points on each
side of the vertical asymptote
function:_____________________________
π₯ = βπ
Vertical Asymptote:______________
π¦=π
Horizontal Asymptote:___________
There is always a vertical and
horizontal asymptote.
Range:
β, π¦ β π
________________
β, π₯ β βπ
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 ππ π > 0, π‘βπ ππ’πππ‘πππ ππ πππ. (ββ, β π (βπ, β
ππ π < 0, π‘βπ ππ’πππ‘πππ ππ πππ. (ββ, β π (βπ, β
Decreasing:____________________________
The function is either Increasing or Decreasing. It canβt be both