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Graphing a Rational Expression  Problem 11
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 we know key features of the parent graph of f(x) = 1/x , then we can use transformation rules to graph other rational functions. Numbers added or subtracted in the denominator represent a horizontal shift, and numbers added or subtracted outside the fraction represent a vertical shift. Don't forget to transform the asymptotes and key points as well. If the function that you're asked to graph isn't in a form where transformations make sense, try using long division to change the form in which it is presented.
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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 4,523 viewsGraph:
f(x) = 1 + 2 x 
Graphing a Rational Expression
Problem 2 3,989 viewsGraph:
f(x) = 1 x + 3 
Graphing a Rational Expression
Problem 3 3,813 viewsGraph:
f(x) = 1 x 
Graphing a Rational Expression
Problem 4 1,094 views 
Graphing a Rational Expression
Problem 5 851 views 
Graphing a Rational Expression
Problem 6 841 views 
Graphing a Rational Expression
Problem 7 996 views 
Graphing a Rational Expression
Problem 8 880 views 
Graphing a Rational Expression
Problem 9 813 views 
Graphing a Rational Expression
Problem 10 827 views 
Graphing a Rational Expression
Problem 11 856 views 
Graphing a Rational Expression
Problem 12 824 views
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