Warm Up
Write the expression as a single simplified fraction. Identify any holes or vertical asymptotes of the simplified expression.
12
1
2
2
2
(x ­ 2x ­ 15)(x + 6x)
f(x) =
(2x2 + 8x ­ 24)(x ­ 3)
1. Find the simplified form of f(x).
2. Find any x­intercepts of f(x).
3. Find the y­intercept of f(x).
4. Find any vertical asymptotes of f(x).
5. Find any horizontal asymptotes of f(x).
6. Find any holes of f(x).
7. Identify the domain of f(x).
3
Hole (­3, 99/256)
(8,0)
(0,0)
y = ­3/4
x = ­6
x = 5
4
5
6