Question

describe the end behavior of the graph. x→−∞,y→∞ and x→∞,y→∞ x→−∞,y→−∞ and x→∞,y→∞ x→∞,y→∞ and x→−∞,y→0 x→∞,y→0 and x→∞,y→∞

Explanation:

Step1: Analyze the left - hand end behavior

As \(x\to-\infty\), observe the graph. The graph approaches \(y = 0\) (horizontal asymptote on the left - hand side).

Step2: Analyze the right - hand end behavior

As \(x\to+\infty\), observe the graph. The graph goes up, so \(y\to+\infty\)

Answer:

\(x\to-\infty,y\to0\) and \(x\to+\infty,y\to+\infty\) (corresponding to the third option \(x\to+\infty,y\to+\infty\) and \(x\to-\infty,y\to0\))