5. use the graph of the rational function to complete the following statement. as x→2⁻, f(x)→___. as x→2⁻…

Explanation:

Step1: Analyze left - hand limit as x approaches 2

As (x\to2^{-}), we look at the behavior of the graph as (x) approaches 2 from the left - hand side. From the graph of the rational function, we can see that the function values are increasing without bound. So (f(x)\to+\infty).

Step2: Analyze limit as x approaches negative infinity

As (x\to-\infty), we observe the end - behavior of the graph. The graph of the rational function approaches a horizontal asymptote. Looking at the graph, as (x) goes to negative infinity, (f(x)\to0).

Answer:

5. (+\infty)
6. (0)