Question

use the graph of the rational function shown to complete the statement. as ( x
ightarrow 2^{-}, f(x)
ightarrow ) _. a. -2 b. 0 c. ( +infty ) d. ( -infty )

Explanation:

Step1: Analyze the limit notation

The notation \(x\to2^{-}\) means \(x\) approaches \(2\) from the left - hand side.

Step2: Observe the graph behavior

Looking at the graph of the rational function, as \(x\) approaches \(2\) from the left (\(x\to2^{-}\)), the \(y\) - values (i.e., \(f(x)\)) of the function decrease without bound.

Answer:

D. \(-\infty\)