describe the end behavior of the graph. x→∞,f(x)→2 and x→ - ∞, f(x)→∞ x→∞, f(x)→ - ∞ and x→ - ∞,f(x)→ - ∞…

Explanation:

Step1: Analyze right - hand end behavior

As (x\to+\infty), observe the graph's trend. The graph approaches a horizontal line (y = 2), so (f(x)\to2).

Step2: Analyze left - hand end behavior

As (x\to-\infty), the graph goes up, so (f(x)\to+\infty).

Answer:

(x\to+\infty,f(x)\to2) and (x\to-\infty,f(x)\to+\infty) (the first option in the image)