Question

a. as x approaches positive infinity, the function approaches y = 4. as x approaches negative infinity, the function approaches y = 8. b. as x approaches positive and negative infinity, the function approaches y = 8. c. as x approaches positive and negative infinity, the function approaches y = 4. d. as x approaches positive infinity, the function approaches y = 2. as x approaches negative infinity, the function approaches y = 8.

Explanation:

Step1: Analyze the right - hand behavior

As \(x\) approaches positive infinity (\(x
ightarrow+\infty\)), observe the graph. The function gets closer and closer to the horizontal line \(y = 4\).

Step2: Analyze the left - hand behavior

As \(x\) approaches negative infinity (\(x
ightarrow-\infty\)), observe the graph. The function gets closer and closer to the horizontal line \(y = 8\).

Answer:

A. As \(x\) approaches positive infinity, the function approaches \(y = 4\). As \(x\) approaches negative infinity, the function approaches \(y = 8\).