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Introduction to Rational Functions  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
Dividing by zero in math is undefined, so if there is an x in the bottom of a fraction, you can expect a domain restriction, or "excluded value." These values show up as vertical asymptotes, or boundary lines, in the graph. You'll study asymptotes much more deeply in calculus, but for now, you can think of them like fences or boundaries that your graph branches can not touch. The "parent" graph of y = 1/x, including its vertical asymptotes, get shifted side to side if you introduce a number added or subtracted to x in the denominator. The graph will shift in the counterintuitive direction: that is, it moves left if there is x + b, and moves right if there is x  b in the denominator.
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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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Introduction to Rational Functions
Problem 1 5,318 viewsFind the domain of
f(x) = 4 x 
Introduction to Rational Functions
Problem 2 4,245 viewsFind the domain of
f(x) = 4 x − 3 
Introduction to Rational Functions
Problem 3 3,775 viewsFind the domain of
f(x) = 4 2x² + 5x + 3 
Introduction to Rational Functions
Problem 4 878 views 
Introduction to Rational Functions
Problem 5 690 views 
Introduction to Rational Functions
Problem 6 782 views 
Introduction to Rational Functions
Problem 7 719 views 
Introduction to Rational Functions
Problem 8 670 views
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