Acc. Math 3 Quiz Review: Rational Functions Name: ______

Acc. Math 3 – Quiz Review: Rational Functions Name: ______

Find and plot the following for each rational function: x-& y-intercepts, vertical asymptotes, horizontal asymptotes, and slant asymptotes. Then graph the function.

1. hole: ______

x-int: ______

y-int: ______

V.A.: ______

H.A.: ______

S.A.: ______

Domain: ______

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2. hole: ______

x-int: ______

y-int: ______

V.A.: ______

H.A.: ______

S.A.: ______

Domain: ______

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3. hole: ______

x-int: ______

y-int: ______

V.A.: ______

H.A.: ______

S.A.: ______

Domain: ______

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4. hole: ______

x-int: ______

y-int: ______

V.A.: ______

H.A.: ______

S.A.: ______

Domain: ______

5. hole: ______

x-int: ______

y-int: ______

V.A.: ______

H.A.: ______

S.A.: ______

Domain: ______

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6. hole: ______

x-int: ______

y-int: ______

V.A.: ______

H.A.: ______

S.A.: ______

Domain: ______

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7. hole: ______

x-int: ______

y-int: ______

V.A.: ______

H.A.: ______

S.A.: ______

Domain: ______

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8. hole: ______

x-int: ______

y-int: ______

V.A.: ______

H.A.: ______

S.A.: ______

Domain: ______

x-intercept / y-intercept / V.A. / Hole / H.A. / S.A.
1. / (4,0) / (0,1) / x = 1 / None / y = 1/4 / None
2. / (-2,0) / None / x = -3, x = 0 / None / y = 0 / None
3. / None / (0,-2/3) / x = -3, x = 1 / None / y = 0 / None
4. / (1,0) / None / x = 4 / x = 0 / y = 1/3 / None

1. 2.

3. 4.

5. / (4,0) / (0,-12) / x = 1 / x = -4 / y = -3 / None
6. / None / (0, 1/18) / x = -3, x = 3 / None / y = 0 / None
7. / (-2,0), (-1,0), (0,0) / (0,0) / x = -3, x = 3 / None / None / y = x + 3
8. / (1,0) / None / x = -1 / x = 0, x = 3 / y = -1/3 / None

5. 6.

7. 8.