There is a lot going on in the following graph. The two “vertical” lines are actually just part of the graph of: $$g(x)=(x-12)(x+3)(x+15)(x-4)+5000$$ We can’t see much of the graph because we are zoomed in on a small part of it. Your objective is to predict the end-behavior of $g(x)\text{,}$ and you have four options: $$\begin{aligned} y \amp= x^2\\ y \amp= x^3\\ y \amp= x^4\\ y \amp= x^5 \end{aligned}$$ Before maniuplating the graph, make a guess: Which of these power functions will the function $g(x)$ resemble if we zoom out? Make your choice from among the power functions by selecting its checkbox. Then, use the slider to zoom out. If you guessed correctly, the graph of $g(x)$ will begin to look more and more like your power function. Which power function has the same end behavior as $g(x)\text{?}$ Answer: ? x^2 x^3 x^4 x^5