Question

use the graph of the rational function to complete the following statement. as x → -∞, f(x) → ____. as x → -∞, f(x) → \boxed{}.

Explanation:

Step1: Analyze the graph's end behavior

Look at the graph of the rational function as \( x \) approaches \( -\infty \) (moves far to the left). The horizontal line the graph approaches is the x - axis (where \( y = 0 \)).

Step2: Determine the limit

From the visual inspection of the graph, as \( x \) gets very large in the negative direction (\( x
ightarrow-\infty \)), the function \( f(x) \) approaches \( 0 \).

Answer:

\( 0 \)