use the graph of the function f to find the following limits. lim f(x) and lim f(x) as x→∞ and x→ -∞. selec…

Explanation:

Step1: Analyze limit as x→∞

Examine the right - hand end behavior of the graph. As (x) approaches positive infinity ((x\rightarrow\infty)), observe the (y) - value the graph approaches.

Step2: Analyze limit as x→ - ∞

Examine the left - hand end behavior of the graph. As (x) approaches negative infinity ((x\rightarrow-\infty)), observe the (y) - value the graph approaches.

Since the graph is not provided here, we cannot give a numerical answer. But the general process for answering such questions is as above. If we assume we had the graph: If the graph approaches a horizontal line (y = L) as (x\rightarrow\infty), then (\lim_{x\rightarrow\infty}f(x)=L). If it does not approach a single value (oscillates, etc.), then (\lim_{x\rightarrow\infty}f(x)) does not exist and is not (\infty) or (-\infty). Similarly, for (x\rightarrow-\infty), if the graph approaches a horizontal line (y = M), then (\lim_{x\rightarrow-\infty}f(x)=M), and if not, (\lim_{x\rightarrow-\infty}f(x)) does not exist and is not (\infty) or (-\infty).

Please provide the graph to get a specific answer.