Question

use the graph of the rational function to complete the following statement. as ( x \to infty ), ( f(x) \to ) _____. as ( x \to infty ), ( f(x) \to square ).

Explanation:

Step1: Analyze the horizontal asymptote

The graph of the rational function has a horizontal asymptote. We observe the behavior of the function as \( x \) approaches positive infinity. From the graph, we can see that as \( x \) gets very large (approaches \( \infty \)), the function \( f(x) \) approaches the horizontal line \( y = 0 \) (the x - axis).

Answer:

\( 0 \)