Question

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 positive 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 negative infinity.

Explanation:

Step1: Analyze the first option

As \(x\to+\infty\), observe the graph. The function's \(y -\)values go up. So, as \(x\) goes to positive infinity, the function's values go to positive infinity.

Step2: Analyze the second option

As \(x\to0\), from the graph, the function's value is \(y = 0\) (the point \((0,0)\)), not positive infinity.

Step3: Analyze the third option

As \(x\to-\infty\), looking at the left - hand side of the graph, the function's \(y -\)values go up (not zero).

Step4: Analyze the fourth option

As \(x\to-\infty\), from the left - hand side of the graph, the function's \(y -\)values go up (not negative infinity).

Answer:

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