Question

use the graph of the rational function to complete the following statement. as ( x \to 1^{-} ), ( f(x) \to )____.

Explanation:

Step1: Analyze the graph behavior as \(x\) approaches \(1\) from the left

When \(x\to1^{-}\), we look at the part of the graph where \(x\) is getting closer to \(1\) but is less than \(1\).

Step2: Determine the trend of \(y = f(x)\)

From the graph, as \(x\) approaches \(1\) from the left (\(x\to1^{-}\)), the \(y\)-values (values of \(f(x)\)) are increasing without bound.

Answer:

\(\infty\)