question 9

Consider the following polynomial function. f(x) = (x+2)(x-1)(x-2) Answer the questions regarding the graph of f. Then, use this information to graph the function. (a) Choose the end behavior of the graph of f. OO.... None Choose One X 5 (b) List each real zero of / according to the behavior of the graph at the X-axis near that zero. If there is more than one answer, separate them with commas. If there is no answer, click on "None . Zero(s) where the graph crosses the X-axis: Zero(s) where the graph touches, but does not cross the x-axis: (c) Find the )-intercept of the graph of f: (d) Graph f (x) = (x+2)(x-1) (x-2) by doing the following. . Plot all points where the graph of ) intersects the x-axis or y-axis. For each point on the X-axis, select the correct behavior. Click on the graph icon. Falls to the left and rises to the right v Rises to the left and falls to the right Rises to the left and rises to the right v Falls to the left and falls to the right V\fConsider the following polynomial functions. g (x) = 4x* + 8x h (x) = (x-2)-(x+3) Choose the graph of each function from the choices below. Graph A Graph B Graph C Graph D Graph E Graph F #+(a) Which is the graph of g (x) = 4x +8x? (choose one) v (b) Which is the graph of h (x) = (x -2) (x+3)? (choose one) v Graph A V Graph C V Graph E V Graph B V Graph D Graph FBelow is the graph of a polynomial function with real coefficients. All local extrema of the function are shown in the graph. .......SIP. ....... ......... . . . ... . .. . . . :. . . S. ... . . . . . . . . . . . ..i. . .. .. . ..... . ... . . . .. . .. . .. . i . . .. . i . . . . . . . . . . . .. 4 .=. . . . . . . . . .. . . . .. . ......" . . . . -2. . . . . . . . . . i . . .. ." . i . ..-. GO. . .. . . . .. . . . . . . . . . . .. . . . .. . . . . . . .. . . .. . .. . . " . . . . . ; . . . . . ; . . . .