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\nAlgebra 93 - Rational Functions and Nonvertical Asymptotes\n

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\nAlthough a rational function may have any number of vertical asymptotes or no vertical asymptotes, rational functions will always have exactly one non-vertical asymptote. Since a function's value is undefined at a vertical asymptote, its...\nAlthough a rational function may have any number of vertical asymptotes or no vertical asymptotes, rational functions will always have exactly one non-vertical asymptote. Since a function's value is undefined at a vertical asymptote, its graph can approach arbitrarily close to but can never intersect a vertical asymptote. However, unlike vertical asymptotes, a function's graph may intersect or cross its non-vertical asymptote, although as x values continue to grow, the distance between a rational function's graph and its non-vertical asymptote will continue to decrease. Non-vertical asymptotes can be horizontal lines described by constant functions, slanted lines called \"oblique\" asymptotes described by linear functions, or curves called \"curvilinear\" asymptotes described by higher-order polynomial functions. In this lecture we will discuss various types of non-vertical asymptotes and show how to determine a rational function's horizontal asymptote.\n
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Resource Details

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Media Length
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19:24
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Grade
12th - Higher Ed
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Subjects
Math
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Instructional Videos
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\nWhy U\n\n
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Date
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2023
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Language
English
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For Teacher Use
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Fine Print: Educational Use
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Concepts

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vertical asymptote, standard form, horizontal, asymptotes, functions, terms, values, stem, graphing rational functions
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why u, whyu, professor von schmohawk, math, mathematics, algebra, polynomial, polynomial function, rational function, asymptote, horizontal asymptote, slant asymptote, oblique asymptote, curvilinear asymptote, leading term, covolinear asymptote, largest exponent, denominator coefficient, functions graph, negative values, functions denominator, denominator exponent, large values, numerator exponent, large positive, exponent, term, negative, large, grow, graph, function
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Best For: Explaining a topic
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