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Graphing a Rational Expression  Problem 4
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
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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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
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Sample Problems (12)
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Graphing a Rational Expression
Problem 1 4,594 viewsGraph:
f(x) = 1 + 2 x 
Graphing a Rational Expression
Problem 2 4,052 viewsGraph:
f(x) = 1 x + 3 
Graphing a Rational Expression
Problem 3 3,896 viewsGraph:
f(x) = 1 x 
Graphing a Rational Expression
Problem 4 1,149 views 
Graphing a Rational Expression
Problem 5 903 views 
Graphing a Rational Expression
Problem 6 901 views 
Graphing a Rational Expression
Problem 7 1,032 views 
Graphing a Rational Expression
Problem 8 924 views 
Graphing a Rational Expression
Problem 9 855 views 
Graphing a Rational Expression
Problem 10 865 views 
Graphing a Rational Expression
Problem 11 896 views 
Graphing a Rational Expression
Problem 12 873 views
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