SECTION D (INTERPRETAT1ON) \( \begin{array}{l}\text { The graph of } f(x)=-2 x-8 \text { and } g(x)=-2 x^{2} \quad-8 x \text { are represented in tie dagrim. } \\ \text { wherein } f(x) \text { and } g(x) \text { intersect at }(-4 ; 0) \text { and at }(1 ;-10) \text { belows }\end{array} \)

The intersection points of the functions \(f(x) = -2x - 8\) and \(g(x) = -2x^2 - 8x\) occur when their outputs are equal. This means both graphs share a common coordinate at those points, which visually can help identify the behavior of these functions in terms of roots or solutions. The first point \((-4, 0)\) signifies that at \(x = -4\), both functions yield a value of 0, highlighting it as a root for \(f(x)\). Similarly, the other intersection point \((1, -10)\) reinforces the idea that at \(x = 1\), both functions produce the same negative output. Exploring these graphs reveals fascinating characteristics. The linear function \(f(x)\) depicts a constant downward slope, while the quadratic function \(g(x)\) forms a parabolic shape, opening downwards. Recognizing these features allows one to predict the behavior of the functions in various intervals, especially beyond their intersection points. Plus, understanding polynomial behavior can prepare you for analyzing more complex equations or real-life scenarios where such relationships arise!