   Chapter 10.5, Problem 10E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 5-10, find any horizontal and vertical asymptotes for each function. y − 6 x 3 4 x 2 + 9

To determine

To calculate: The horizontal and vertical asymptotes for the function y=6x34x2+9.

Explanation

Given Information:

The provided function is y=6x34x2+9.

Formula used:

A vertical asymptote of a function f(x) is a line x=a such that f(a)=.

A vertical asymptote of a rational function h(x)=f(x)g(x) is x=a where g(a)=0 and f(a)0.

A horizontal asymptote of a function f(x) is a line y=b such that limxf(x)=b or limxf(x)=b.

A horizontal asymptote of a rational function h(x)=f(x)g(x) is

1. A line y=0 if the degree of the numerator is less than the degree of the denominator.

2. The line y= ratio of the leading coefficients if the degree of the numerator is equal to the degree of the denominator

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