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Graphing a Rational Expression  Problem 8
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
Asymptotes have many applications in higher level maths, including calculus in the study of continuity. While you could find the horizontal asymptotes by considering the end behavior of the function, we can also use the rules presented here that are based on the degree of the numerator and denominator. While the graph of a rational function will never cross a vertical asymptote, there are some circumstances in which it might cross a horizontal asymptote.
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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.”
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Sample Problems (12)
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Graphing a Rational Expression
Problem 1 4,527 viewsGraph:
f(x) = 1 + 2 x 
Graphing a Rational Expression
Problem 2 3,992 viewsGraph:
f(x) = 1 x + 3 
Graphing a Rational Expression
Problem 3 3,815 viewsGraph:
f(x) = 1 x 
Graphing a Rational Expression
Problem 4 1,096 views 
Graphing a Rational Expression
Problem 5 854 views 
Graphing a Rational Expression
Problem 6 845 views 
Graphing a Rational Expression
Problem 7 999 views 
Graphing a Rational Expression
Problem 8 882 views 
Graphing a Rational Expression
Problem 9 816 views 
Graphing a Rational Expression
Problem 10 830 views 
Graphing a Rational Expression
Problem 11 860 views 
Graphing a Rational Expression
Problem 12 826 views
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