X intercepts
Numerator equal zero
Vertical asymptote
Denominator
M is
N is
M is numerator degree
N is denominator degree
M
Y=0
M=n
Y= Am/Bn
Constants or coefficients
M>n
No horizontal asymptote
End behavior
LC= m/n
Degree= m-n
Directly
Y=ax
Inverse
Y=a/x
Joint
Y=azx
To check variation check
The opposite of what want to know So if want to know if direct y=ax Test y/x=a If want to know inverse Yx=a
When graphing y=a/x
What are asymptotes
How to graph
X=0
Y=0
Input out put for table
Draw branches
When graphing
y=a/x-h +k
X=h asymptote
Y=k asymptote
Then input out put
Branches
Graphing y=ax+b/cx+d +e
Denominator equal to zero for vertical asymptote
Horizontal is y=a/c +e
How to graph y= 3x^2/x^2
1) x intercepts are numerator=0
2) vertical asymptotes denominator=0
Set table
Plot points