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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.
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Graphing a Rational Expression
Problem 1 4,668 viewsGraph:
f(x) = 1 + 2 x 
Graphing a Rational Expression
Problem 2 4,131 viewsGraph:
f(x) = 1 x + 3 
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Problem 3 3,978 viewsGraph:
f(x) = 1 x 
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Problem 4 1,211 views 
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Problem 5 960 views 
Graphing a Rational Expression
Problem 6 950 views 
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Problem 7 1,076 views 
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Problem 8 985 views 
Graphing a Rational Expression
Problem 9 909 views 
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Problem 10 915 views 
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Problem 11 956 views 
Graphing a Rational Expression
Problem 12 927 views
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