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If you are confident with transformation rules, you can graph many rational functions using transformations. If the rational function is not in a form that you recognize as a transformation of 1/x, you can try long division to get it into a form where you can see the transformations. Remember to move the asymptotes when you have vertical and horizontal shifts. It's always a good idea to substitute in an x value and find the corresponding y value to check your final graph.
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Concept (1)
Sample Problems (12)
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Graphing a Rational Expression
Problem 1 3,740 viewsGraph:
f(x) = 1 + 2 x 
Graphing a Rational Expression
Problem 2 3,322 viewsGraph:
f(x) = 1 x + 3 
Graphing a Rational Expression
Problem 3 3,100 viewsGraph:
f(x) = 1 x 
Graphing a Rational Expression
Problem 4 369 views 
Graphing a Rational Expression
Problem 5 313 views 
Graphing a Rational Expression
Problem 6 295 views 
Graphing a Rational Expression
Problem 7 348 views 
Graphing a Rational Expression
Problem 8 313 views 
Graphing a Rational Expression
Problem 9 266 views 
Graphing a Rational Expression
Problem 10 283 views 
Graphing a Rational Expression
Problem 11 268 views 
Graphing a Rational Expression
Problem 12 241 views
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 Solving a Rational Equation for a parameter 10,049 views
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