Question

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

Explanation:

Step1: Analyze the limit notation

The notation \(x
ightarrow1^{-}\) means \(x\) approaches \(1\) from the left - hand side.

Step2: Interpret the graph behavior

When looking at the graph of a rational function, as \(x\) approaches \(1\) from the left (\(x
ightarrow1^{-}\)), we observe the trend of the \(y = f(x)\) values. If the graph of the function rises without bound as \(x\) approaches \(1\) from the left, then \(f(x)\) approaches positive infinity.

Answer:

\(\infty\)