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