1. Section P.5 – Rational Expressions
EXTENDED

2. Extension: The graph contains a hole at x = 0.
Note: Cancelled and eliminated from denominator
Extension: The graph contains a hole at x = 1
Note: Cancelled and eliminated
Extension: The graph contains an asymptote at x = 0
Note: not eliminated

3. Extension: The graph contains an hole at x = -3
Note: Cancelled and eliminated
Extension: The graph contains an asymptote at x = 3
Note: not eliminated

4. Extension: The graph contains a hole at x = -2
Note: cancelled and eliminated

5. Extension: The graph contains a hole at x = 2
Note: cancelled and eliminated
Extension: The graph contains an asymptote at x = 4 and x = -4
Note: both not eliminated
Extension: The graph contains a hole at x = ½
Note: cancelled and eliminated

6. Hole at x = -2, Asymptotes at x = 0 and x = 2
Hole at x = 0, x = 4, Asymptote at x = -4
Hole at x = -1/2 , x = -5, Asymptote at x = 1, x = -1

7. Hole at x = 1, Asymptotes at x = 0 and x = -2
Hole at x = 2, x = -3
Asymptotes at x = -2 and x = 4