refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). use - ∞ and ∞ where…

refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). use - ∞ and ∞ where appropriate. select the correct choice below and fill in any answer boxes in your choice. a. lim f(x) = □ x→∞ b. the limit does not exist and is neither - ∞ nor ∞.

refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). use - ∞ and ∞ where appropriate. select the correct choice below and fill in any answer boxes in your choice. a. lim f(x) = □ x→∞ b. the limit does not exist and is neither - ∞ nor ∞.

Answer

Explanation:

Step1: Analyze the graph as x approaches infinity

As we look at the graph of (y = f(x)) and consider the values of (x) getting larger and larger (i.e., (x\rightarrow\infty)), we observe the long - term behavior of the function.

Step2: Determine the limit value

From the graph, as (x) goes to infinity, the function (y = f(x)) approaches a horizontal asymptote. The (y) - values of the function approach (- 4). So (\lim_{x\rightarrow\infty}f(x)=- 4)

Answer:

A. (\lim_{x\rightarrow\infty}f(x)=-4)