Why do some rational functions go through the horizontal asmyptote?

Question:

Why do some rational functions go through the horizontal asmyptote?

Rational Functions:

Rational functions are functions that is the ratio of two polynomials.

Let f(x) = x+1 and g(x) = 2x + 3. Using these functions, we can create a rational function {eq}\frac{x+1}{2x+3} {/eq}

Answer and Explanation:

An asymptote is a straight line which is approached but never reached by any function.

A rational function go through horizontal asymptote because the degree of the numerator is the same as the degree of the denominator.


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Rational Function: Definition, Equation & Examples

from GMAT Prep: Help and Review

Chapter 10 / Lesson 11
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