If you are given the equation of a rational function, explain how to find the vertical asymptotes, if there is one, of the function's graph. If you are given the equation of a rational function, explain how to find the horizontal asymptote, if any, of the function's graph.

If you are given the equation of a rational function, explain how to find the vertical asymptotes, if there is one, of the function's graph. If you are given the equation of a rational function, explain how to find the horizontal asymptote, if any, of the function's graph.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.4: Partial Fractions

Problem 1SE: Can any quotient of polynomials be decomposed into at least two partial fractions? If so, explain...

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Question

2. If you are given the equation of a rational function, explain how to find the vertical asymptotes, if there is one, of the
function's graph.
If you are given the equation of a rational function, explain how to find the horizontal asymptote, if any, of
the function's graph.

1. How does the linear factorization of fx), that is,
Ax)=an (x-01)(x-c2) (r-c),
show that a polynomial equation of degree n has n roots?
Why must every polynomial equation with real coefficients of degree 3 have at least one real root?

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