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Chapter 4: Q. 6 (page 224)

If,asx鈫�-鈭�or as x鈫�鈭�. the values ofR(x) approach some fixed number L, then the liney=L is a _________ __________ of the graph of R.

Short Answer

Expert verified

If, as x鈫�-鈭�or as x鈫�鈭�, the values of R(x) approach some fixed number L, then the liney=L is a Horizontal Asymptote of the graph of R.

Step by step solution

01

Step 1. Definition

Horizontal Asymptote

A horizontal Asymptote is a horizontal line to which a graph of a function approaches as x鈫�鈭�orx鈫�-鈭�but the graph of the function never touches that line.

02

Step 2. clarification  

The Line y=Lwill be a Horizontal Asymptote of function R(x)if asx鈫�-鈭�orx鈫�鈭�

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Most popular questions from this chapter

In Problems 13鈥�24, find the domain of each rational function.

R(x)=3(x2-x-6)4(x2-9)

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