SOLUTION: Which rational function has a graph with the horizontal asymptote of y= -3

Algebra.Com
Question 186703: Which rational function has a graph with the horizontal asymptote of y= -3
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Which rational function has a graph with the horizontal asymptote of y= -3

To have a horizontal asymptote of y=-3,

1. The term with the largest exponent of the variable in the numerator,
and the term with the largest exponent in the denominator must be
the same exponent.

2.  The coefficients of those two terms must have quotient -3.

Examples:



and



both have horizontal asymptotes y=-3

Edwin



RELATED QUESTIONS

The graph of the rational function: f(x)= x+1/x^2-3x+2 has a horizontal asymptote with... (answered by stanbon)
Which one of the following is true? (1) The function, f(x)=2x^2+1/x^2-1, does not have a... (answered by solver91311)
Give an example of a rational function h whose graph has the following properties.... (answered by greenestamps)
Find the horizontal asymptote, if any, of the graph of the rational function. g(x) =... (answered by stanbon)
Find the horizontal asymptote, if any, of the graph of the rational function.... (answered by oscargut)
Create a rational function whose graph will have a horizontal asymptote at... (answered by stanbon)
Graph the Rational Function & give the equations of its asymptotes. (answered by jsmallt9)
Write a rational function that has the following attributes: Vertical asymptote: x=-1,... (answered by mouk)
Find the equation of a rational function. Vertical Asymptote at x= -6 Horizontal... (answered by greenestamps)