Asymptotes,Inverses,EndBehaviorreviewworksheet
Findtheverticalandhorizontalasymptotes:
3x 2 − 6x + 3
x 4 − 4x 2
4x
1. 3
2. 2
3.
x2 − 1
x − 9x
x +4
3x 3 − 24
2x 2 + 3
4. 2
5. 2
x − 4x + 4
x −6
Findthecompositeif: f (x) = x 2 − 7 6.f(g(x))
7.f(f(x))
8.g(f(-2))
9.f(g(-2))
Describetheendbehavioratx=positive/negativeinfinity:
x3 − 7
x 2 − 3x − 2
10. f (x) =
11. f (x) =
x2
x2 − 4
Asymptotes,Inverses,EndBehaviorreviewworksheet
Findtheverticalandhorizontalasymptotes:
3x 2 − 6x + 3
x 4 − 4x 2
4x
1. 3
2. 2
3.
x2 − 1
x − 9x
x +4
3x 3 − 24
2x 2 + 3
4. 2
5. 2
x − 4x + 4
x −6
Findthecompositeif: f (x) = x 2 − 7 6.f(g(x))
7.f(f(x))
8.g(f(-2))
9.f(g(-2))
Describetheendbehavioratx=positive/negativeinfinity:
x3 − 7
x 2 − 3x − 2
10. f (x) =
11. f (x) =
x2
x2 − 4