Craig Greene

04/19/2023 · Middle School

Consider the following polynomial function. \[ \begin{array}{l}f(x)=-(x-1)(x+1)(x-2)^{2} \\ \text { Answer the questions regarding the graph of } f \text {. } \\ \text { Then, use this information to graph the function. } \\ \text { (a) Choose the end behavior of the graph of } f \text {. } \\ \text { (b) List each real zero of } f \text { according to the behavior of the graph at the } x \text {-axis near that } \\ \text { zero. If there is more than one answer, separate them with commas. If there is no } \\ \text { answer, click on "None". } \\ \text { Zero(s) where the graph crosses the } x \text {-axis: } \\ \text { Zero(s) where the graph touches, but does not cross the } x \text {-axis: } \\ \text { (c) Find the } y \text {-intercept of the graph of } f \text { : } \\ \text { (d) Graph } f(x)=-(x-1)(x+1)(x-2)^{2} \text { by doing the following. } \\ \text { - Flot all points where the graph of } f \text { intersects the } x \text {-axis or } y \text {-axis. }\end{array} \]