Question

refer to the graph of the function and complete the statement.

part: 0 / 10

part 1 of 10

(a) as ( x \to -infty, f(x) \to square ).

Explanation:

Step1: Analyze the graph as \(x\to-\infty\)

As \(x\) approaches \(-\infty\) (moves far to the left on the \(x -\)axis), we look at the behavior of the \(y = f(x)\) values.

Step2: Determine the limit value

From the graph, as \(x\) goes to \(-\infty\), the function \(y = f(x)\) approaches the horizontal dashed line. Observing the \(y -\)coordinate of the horizontal asymptote (the dashed line), we can see that as \(x\to-\infty\), \(f(x)\) approaches \(-3\).

Answer:

\(-3\)