Graphing a Rational Expression - Concept

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.

Sample Problems (12)

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Graphing a Rational Expression - Problem 1

Problem 1

How to transform the graph of a rational equation up and down.
Graphing a Rational Expression - Problem 2

Problem 2

How to transform the graph of a rational equation side to side.
Graphing a Rational Expression - Problem 3

Problem 3

How to transform the graph of a rational equation upside-down.
Graphing a Rational Expression - Problem 4

Problem 4

Using transformations to graph rational functions.
Graphing a Rational Expression - Problem 5

Problem 5

Finding the discontinuities or domain restrictions of rational functions, including vertical asymptotes and holes.
Graphing a Rational Expression - Problem 6

Problem 6

How to graph rational functions using key features.
Graphing a Rational Expression - Problem 7

Problem 7

Finding x and y-intercepts of rational functions.
Graphing a Rational Expression - Problem 8

Problem 8

Finding the horizontal asymptote of a rational function and determining whether or not the graph will cross it.
Graphing a Rational Expression - Problem 9

Problem 9

Solving rational inequalities graphically
Graphing a Rational Expression - Problem 10

Problem 10

Finding discontinuities (holes and vertical asymptotes) of rational functions
Graphing a Rational Expression - Problem 11

Problem 11

Graphing rational functions using transformations.
Graphing a Rational Expression - Problem 12

Problem 12

Writing a possible rational function from given key features.