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 functions values go to negative infinity. as the x - values go to zero, the functions values go to positive infinity. as the x - values go to negative infinity, the functions values are equal to zero. as the x - values go to negative infinity, the functions values go to positive infinity.

which statement is true about the end - behavior of the graphed function? as the x - values go to positive infinity, the functions values go to negative infinity. as the x - values go to zero, the functions values go to positive infinity. as the x - values go to negative infinity, the functions values are equal to zero. as the x - values go to negative infinity, the functions values go to positive infinity.

Answer

Explanation:

Step1: Analyze right - hand end behavior

Examine the graph as (x\to+\infty). As (x) increases (moves to the right), the (y) - values of the function increase. So, as (x) goes to positive infinity, the function's values go to positive infinity, not negative infinity.

Step2: Analyze behavior near (x = 0)

Near (x = 0), the function has a value around (y=0) (it passes through or near the origin), not that the function's values go to positive infinity as (x) goes to (0).

Step3: Analyze left - hand end behavior

As (x\to-\infty) (moves to the left), the (y) - values of the function increase. So, as (x) goes to negative infinity, the function's values go to positive infinity. Also, the function's values are not equal to (0) as (x) goes to negative infinity.

Answer:

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