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\nWhen do we have an oblique, slant asymptote for a rational function\n

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\n\nPublisher:\n\nBrian McLogan\n\n\n
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\n👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...\n👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the horizontal and the slant/oblique asymptotes. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the slant asymptote of a rational function, we divide the numerator by the denominator using either long division or synthetic division. The quotient obtained when the numerator is divided by the denominator is the slant asymptote of the function.\n
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Media Length
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4:48
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Grade
12th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nBrian McLogan\n\n
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Date
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2013
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Language
English
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Audiences
For Teacher Use
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Fine Print: Educational Use
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Concepts

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horizontal, vertical, asymptotes, long division, degrees
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solving for oblique asymptote, math help, slant asymptote, how to know oblique slant asymptote, oblique asymptote, math, asymptote, function, rational, slant, oblique, algebra, precalculus, rational function, equation, oblique asymptotes of rational functions, how do you, oblique asymptote rules, how to find oblique asymptotes of rational functions, finding slant oblique asymptotes of rational functions, examples of rational functions with oblique asymptotes, guys give, numerator, guys, divide, remember, degree, quick, review, alright, equal, write, greater, talking, call, denominator, difference, quotient, remainder, deal
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