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Graphing a Rational Expression  Problem 5
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
The zeros of the denominator of a rational function are what we call points of discontinuity, or domain restrictions, and they are very important as you move toward calculus. If there is a factor of the numerator that is also a factor of the denominator, then that x value represents a hole in the graph. You can find the y coordinate of the hole by substituting the x into the reduced function. A factor that is only in the denominator represents a vertical asymptote. We talk about asymptotes in terms of what happens to the y values, or outputs, as the x values get closer and closer to those restricted values from both sides. This is a concept that you'll continue to explore in the years of math study to come.
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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 4,526 viewsGraph:
f(x) = 1 + 2 x 
Graphing a Rational Expression
Problem 2 3,991 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 5 853 views 
Graphing a Rational Expression
Problem 6 843 views 
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Problem 7 998 views 
Graphing a Rational Expression
Problem 8 882 views 
Graphing a Rational Expression
Problem 9 815 views 
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Problem 10 829 views 
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Problem 11 859 views 
Graphing a Rational Expression
Problem 12 826 views
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