lesson
Finding Oblique (Slant) Asymptotes
Perform polynomial long division to find oblique asymptotes when the numerator degree exceeds the denominator by one.
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Algebraic Asymptote Analysis and End Behavior
6 lessons
Goal
Learners will algebraically determine vertical, horizontal, and oblique asymptotes, analyze function behavior around vertical asymptotes, and describe end behavior using infinity notation.
6 lessons
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- Finding Vertical Asymptotes AlgebraicallyUp next
- Finding Horizontal Asymptotes AlgebraicallyNot started yet
- Finding Oblique (Slant) AsymptotesYou are here
- Analyzing Behavior Around Vertical AsymptotesNot started yet
- Writing End Behavior Using Infinity NotationNot started yet
- End Behavior of Rational FunctionsNot started yet
Learning standards covered
111.42(b)(2)(K)Texas Essential Knowledge and Skills (TEKS) · Math · 12th Gradeanalyze characteristics of rational functions and the behavior of the function around the asymptotes, including horizontal, vertical, and oblique asymptotes;
Open Global Standard:OGM.13.FN.4
111.42(b)(2)(J)Texas Essential Knowledge and Skills (TEKS) · Math · 12th Gradeanalyze and describe end behavior of functions, including exponential, logarithmic, rational, polynomial, and power functions, using infinity notation to communicate this characteristic in mathematical and real-world problems;
Open Global Standard:OGM.13.FN.4
OGM.13.FN.4