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Concept
(1)

: The graph of a basic rational function (1/x) is easy to do by plotting key points. When **graphing rational functions**, the functions are asymptotic to either the x-axis and y-axis or to certain lines if there are shifts in the graphs. More complex graphs of rational functions include functions with graph shifts.

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Sample Problems
(12)

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Problem 1

How to transform the graph of a rational equation up and down.

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Problem 2

How to transform the graph of a rational equation side to side.

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Problem 3

How to transform the graph of a rational equation upside-down.

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Problem 4

Using transformations to graph rational functions.

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Problem 5

Finding the discontinuities or domain restrictions of rational functions, including vertical asymptotes and holes.

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Problem 6

How to graph rational functions using key features.

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Problem 7

Finding x and y-intercepts of rational functions.

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Problem 8

Finding the horizontal asymptote of a rational function and determining whether or not the graph will cross it.

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Problem 9

Solving rational inequalities graphically

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Problem 10

Finding discontinuities (holes and vertical asymptotes) of rational functions

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Problem 11

Graphing rational functions using transformations.

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Problem 12

Writing a possible rational function from given key features.