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 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 positive infinity, the functions values go to positive infinity.

Explanation:

Step1: Analyze the right - hand end behavior

As \(x\) (the horizontal axis) goes to positive infinity (\(x\to+\infty\)), we look at the right - most part of the graph. The graph is rising, which means the function's \(y\) - values (the vertical axis) are going to positive infinity.

Step2: Analyze the left - hand end behavior

As \(x\) goes to negative infinity (\(x\to-\infty\)), we look at the left - most part of the graph. The graph is falling, which means the function's \(y\) - values are going to negative infinity.

Answer:

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