determine the end behavior of the following function.
determine the end behavior of the following function.
Answer
Explanation:
Step1: Analyze as (x\to+\infty)
As (x) approaches positive - infinity ((x\to+\infty)), the function value (y) appears to approach a horizontal asymptote. The curve levels off and (y) approaches a constant value.
Step2: Analyze as (x\to-\infty)
As (x) approaches negative - infinity ((x\to-\infty)), the function value (y) decreases without bound. The curve goes downwards towards negative infinity.
Answer:
As (x\to+\infty), (y) approaches a constant value; as (x\to-\infty), (y\to-\infty)