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 graph's end behavior

Look at the right - hand side of the graph (as \(x\) approaches positive infinity). Observe the trend of the function's \(y\) - values.
From the graph, as \(x\) gets very large (approaches \(\infty\)), the graph of the rational function approaches a horizontal line. By visually inspecting the graph, we can see that the \(y\) - value that the graph approaches is \(0\) (since the right - hand part of the graph gets closer and closer to the \(x\) - axis, where \(y = 0\)).

Answer:

\(0\)