2. The Lame Joke of the day..
Why were the police officers at the
restaurant?
And now it’s time for..
They were doing a steak - out!

3. Graphing Rational Functions by hand
• Find All intercepts.
– X intercepts : f(x) = 0 (Numerator = 0 )
– Y intercepts: x = 0
• Find and sketch ALL asymptotes using dashed
lines.
• Plot points:
– Near x intercepts
– Near asymptotes

4. New Parent Function
• The most basic rational function:
x
xf
1
)(

5. Rational Functions have unusual
looking graphs

6. Example
• Sketch, by hand:
2
3
)(
x
xf

7. You try
• Sketch, by hand:
x
x
xf
1
)(

9. More complicated example…
• Sketch, by hand:
2
)( 2
xx
x
xf

10. More complicated example…
• Sketch, by hand:
2
)( 2
xx
x
xf

11. You try
• Sketch, by hand:
82
2
)( 2
xx
x
xf