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0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations1h 43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 5m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

5. Rational Functions

Asymptotes

College Algebra

5. Rational Functions

Asymptotes

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Match the rational function in Column I with the appropriate descrip-tion in Column II. Choices in Column II can be used only once. ƒ(x)=(x+7)/(x+1)

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Open Question

Use the graphs of the rational functions in choices A–D to answer each question. There may be more than one correct choice. Which choices have domain (-∞, 3)U(3, ∞)?

Open Question

Use the graph of the rational function in the figure shown to complete each statement in Exercises 9–14.

As x -> 1^-, f(x) -> __

Open Question

Use the graph of the rational function in the figure shown to complete each statement in Exercises 9–14.

As x -> -∞, f(x) -> __

Open Question

Use the graph of the rational function in the figure shown to complete each statement in Exercises 15–20.

As x -> 1^+, f(x) -> __

Open Question

In Exercises 21–36, find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. f(x)=(x^2−9)/(x−3)

Open Question

Match the rational function in Column I with the appropriate descrip-tion in Column II. Choices in Column II can be used only once. ƒ(x)=1/(x+4)

Open Question

In Exercises 21–36, find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. g(x)=(x−3)/(x^2−9)

Open Question

In Exercises 21–36, find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. h(x)=(x+7)/(x^2+4x−21)

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