Question

use the graph of the rational function to complete the following statement. as (x\toinfty,f(x)\to)___ as (x\toinfty,f(x)\tosquare) asymptotes are shown as dashed lines. the horizontal asymptote is (y = 1). the vertical asymptotes are (x=-4) and (x = 2).

Explanation:

Step1: Analyze end - behavior

As \(x\to\infty\), we look at the horizontal asymptote of the rational function.

Step2: Identify horizontal asymptote

The horizontal asymptote of the given rational function is \(y = 1\). As \(x\) approaches positive infinity, the function \(f(x)\) approaches the value of the horizontal asymptote.

Answer:

1