Question

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

Explanation:

End behavior describes a function's trend as x approaches ±∞. Observing the graph: when x moves right toward positive infinity, the blue curve rises upward indefinitely (toward positive infinity). The other options are incorrect: as x→0, the function passes through (0,0) (not infinity); as x→negative infinity, the curve rises upward (not zero or negative infinity). Thus, the first statement is true.

Answer:

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