determining when a function is increasing or decreasing\nuse the graph to determine the true statement about…

determining when a function is increasing or decreasing\nuse the graph to determine the true statement about the end - behavior of the function.\nas the x - values go to positive infinity, the function’s values go to negative infinity.\nas the x - values go to positive infinity, the function’s values go to positive infinity.\nas the x - values go to negative infinity, the function’s values go to negative infinity.\nas the x - values go to positive infinity, the function’s values are equal to 0.

determining when a function is increasing or decreasing\nuse the graph to determine the true statement about the end - behavior of the function.\nas the x - values go to positive infinity, the function’s values go to negative infinity.\nas the x - values go to positive infinity, the function’s values go to positive infinity.\nas the x - values go to negative infinity, the function’s values go to negative infinity.\nas the x - values go to positive infinity, the function’s values are equal to 0.

Answer

Explanation:

Step1: Analyze right - hand end behavior

As (x) approaches positive infinity ((x\rightarrow+\infty)), we look at the right - most part of the graph.

Step2: Observe the trend

The graph is going up as (x) gets larger. So, as (x\rightarrow+\infty), (y\rightarrow+\infty).

Step3: Analyze left - hand end behavior

As (x) approaches negative infinity ((x\rightarrow-\infty)), the graph is going up. So, as (x\rightarrow-\infty), (y\rightarrow+\infty).

Answer:

As the (x) - values go to positive infinity, the function’s values go to positive infinity.