Honors Algebra 2
Unit 5 – Graphing Rationals
5.3 - Notes
Name _______________________________________________
Date ____________________
Slant Asymptotes: If the degree on the _______________ is _________________________ higher than the
degree on the ________________________, then the function has a slant asymptote, __________________.

Ex 1. f  x  
Use _____________________________ to find the equation.
x2  x  6
x2
Ex 3. What if f  x  
Ex 2. f  x  
x 2  7x  12
x3
x3  x2  x  5
?
x2  4
Increasing & Decreasing: ____________________, read from left to right.
**Only use _______________________.**
x 2  2x  15
1. f(x) 
x2
V.A: _____________
H.A.: _____________
S.A.: _____________
x-int(s).: __________
y-int: _____________
Hole: ____________
Inc: __________________________
Dec: _________________________
Domain: ______________________
Range: _______________________
Honors Algebra 2
Unit 5 – Graphing Rationals
x2  x  6
2. f(x) 
x2
V.A: _____________
H.A.: _____________
S.A.: _____________
x-int(s).: __________
y-int: _____________
3. f(x) 
Hole: ____________
Inc: ___________________________
Dec: __________________________
Domain: _______________________
Range: _________________________
x2  x  2
x3
V.A: _____________
H.A.: _____________
S.A.: _____________
x-int(s).: __________
y-int: _____________
Hole: _______________
Inc: ___________________________
Dec: __________________________
Domain: _______________________
Range:_________________________
5.3 - Notes