identify the end behaviors for the function graphed to the right right hand end behavior: as x→ , f(x)→ left…

Explanation:

Step1: Analyze right - hand end behavior

As we move towards the right on the x - axis (i.e., as (x\to+\infty)), we observe the y - values of the function. Looking at the graph, as (x) gets larger and larger (moves to the right), the function values (f(x)) decrease without bound. So (f(x)\to-\infty).

Step2: Analyze left - hand end behavior

As we move towards the left on the x - axis (i.e., as (x\to-\infty)), we observe the y - values of the function. From the graph, as (x) gets more and more negative (moves to the left), the function values (f(x)) increase without bound. So (f(x)\to+\infty).

Answer:

Right hand end behavior: As (x\to+\infty), (f(x)\to-\infty) Left hand end behavior: As (x\to-\infty), (f(x)\to+\infty)