which statement is true about the end - behavior of the graphed function? as the x - values go to positive…

which statement is true about the end - behavior of the graphed function? as the x - values go to positive infinity, the function’s values go to negative infinity. as the x - values go to zero, the function’s values go to positive infinity. as the x - values go to negative infinity, the function’s values are equal to zero. as the x - values go to positive infinity, the function’s values go to positive infinity.
Answer
Explanation:
Step1: Analyze right - hand end behavior
As (x) approaches positive infinity ((x\rightarrow+\infty)), by observing the graph, the function values go downwards. So the function values approach negative infinity.
Step2: Analyze behavior as (x\rightarrow0)
The graph does not show that as (x) approaches (0), the function values go to positive infinity.
Step3: Analyze left - hand end behavior
As (x) approaches negative infinity ((x\rightarrow-\infty)), the function values are not equal to (0).
Step4: Re - check right - hand end behavior
We already saw that as (x\rightarrow+\infty), function values go to negative infinity, not positive infinity.
Answer:
As the (x) - values go to positive infinity, the function's values go to negative infinity.