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- https://math.libretexts.org/Courses/Highline_College/MATHP_141%3A_Corequisite_Precalculus/04%3A_Polynomial_and_Rational_Functions/4.06%3A_Introduction_to_Rational_FunctionsThe way we symbolize the relationship between the end behavior of y=g(x) with that of the line y=x−1 is to write 'as x→±∞, g(x)→x−1.' In this case, we s...The way we symbolize the relationship between the end behavior of y=g(x) with that of the line y=x−1 is to write 'as x→±∞, g(x)→x−1.' In this case, we say the line y=x−1 is a slant asymptote of y=g(x).
- https://math.libretexts.org/Courses/Highline_College/MATH_141%3A_Precalculus_I_(2nd_Edition)/03%3A_Polynomial_and_Rational_Functions/3.06%3A_Introduction_to_Rational_FunctionsThe way we symbolize the relationship between the end behavior of y=g(x) with that of the line y=x−1 is to write 'as x→±∞, g(x)→x−1.' In this case, we s...The way we symbolize the relationship between the end behavior of y=g(x) with that of the line y=x−1 is to write 'as x→±∞, g(x)→x−1.' In this case, we say the line y=x−1 is a slant asymptote of y=g(x).
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/04%3A_Rational_Functions/4.01%3A_Introduction_to_Rational_FunctionsThis section introduces rational functions, which are the ratio of two polynomials. It explains how to identify the domain, vertical and horizontal asymptotes, and behavior at intercepts. The section ...This section introduces rational functions, which are the ratio of two polynomials. It explains how to identify the domain, vertical and horizontal asymptotes, and behavior at intercepts. The section also discusses how to simplify and analyze the graph of rational functions, focusing on understanding the critical features that define their behavior. Various examples are provided to help illustrate these concepts.
- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_Jeffy_Edits_3.75/04%3A_Rational_Functions/4.01%3A_Introduction_to_Rational_FunctionsIf we add, subtract or multiply polynomial functions according to the function arithmetic rules defined in previously, we will produce another polynomial function. If, on the other hand, we divide two...If we add, subtract or multiply polynomial functions according to the function arithmetic rules defined in previously, we will produce another polynomial function. If, on the other hand, we divide two polynomial functions, the result may not be a polynomial. In this chapter we study rational functions - functions which are ratios of polynomials.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/04%3A_Rational_Functions/4.01%3A_Introduction_to_Rational_FunctionsIf we add, subtract or multiply polynomial functions according to the function arithmetic rules defined in previously, we will produce another polynomial function. If, on the other hand, we divide two...If we add, subtract or multiply polynomial functions according to the function arithmetic rules defined in previously, we will produce another polynomial function. If, on the other hand, we divide two polynomial functions, the result may not be a polynomial. In this chapter we study rational functions - functions which are ratios of polynomials.
- https://math.libretexts.org/Courses/Coastline_College/Math_C097%3A_Support_for_Precalculus_Corequisite%3A_MATH_C170/1.04%3A_Polynomial_and_Rational_Functions/1.4.06%3A_Introduction_to_Rational_FunctionsThe way we symbolize the relationship between the end behavior of y=g(x) with that of the line y=x−1 is to write 'as x→±∞, g(x)→x−1.' In this case, we s...The way we symbolize the relationship between the end behavior of y=g(x) with that of the line y=x−1 is to write 'as x→±∞, g(x)→x−1.' In this case, we say the line y=x−1 is a slant asymptote of y=g(x).
- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_(Stitz-Zeager)_-_Jen_Test_Copy/04%3A_Rational_Functions/4.01%3A_Introduction_to_Rational_FunctionsIf we add, subtract or multiply polynomial functions according to the function arithmetic rules defined in previously, we will produce another polynomial function. If, on the other hand, we divide two...If we add, subtract or multiply polynomial functions according to the function arithmetic rules defined in previously, we will produce another polynomial function. If, on the other hand, we divide two polynomial functions, the result may not be a polynomial. In this chapter we study rational functions - functions which are ratios of polynomials.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_(Stitz-Zeager)/04%3A_Rational_Functions/4.01%3A_Introduction_to_Rational_FunctionsIf we add, subtract or multiply polynomial functions according to the function arithmetic rules defined in previously, we will produce another polynomial function. If, on the other hand, we divide two...If we add, subtract or multiply polynomial functions according to the function arithmetic rules defined in previously, we will produce another polynomial function. If, on the other hand, we divide two polynomial functions, the result may not be a polynomial. In this chapter we study rational functions - functions which are ratios of polynomials.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/02%3A_Polynomial_and_Rational_Functions/2.06%3A_Introduction_to_Rational_FunctionsThis section introduces rational functions, which are the ratio of two polynomials. It explains how to identify the domain, vertical and horizontal asymptotes, and behavior at intercepts. The section ...This section introduces rational functions, which are the ratio of two polynomials. It explains how to identify the domain, vertical and horizontal asymptotes, and behavior at intercepts. The section also discusses how to simplify and analyze the graph of rational functions, focusing on understanding the critical features that define their behavior. Various examples are provided to help illustrate these concepts.
