I need answers in number 1 and 2 with complete solution thank you !

Show your complete solution for the required items of each problem. (60 points) 1. For the polynomial function f (x) = -x3 - 2x2(12 pts.) a. What happens to the curve as the value of x becomes positively and negatively large? b. Does the graph of the function exhibit symmetry ? If yes, with respect to what? (x- axis, y-axis, or origin) c. Does the graph of the function intersect the x-axis? If yes, at what point (s)? d. For which interval (in the x-axis) does the graph lie above the x-axis? e. Does the graph intersect the y-axis? If yes, at what point(s)? f. Sketch the graph of the given polynomial function. 2. For the polynomial function f (x) = x(x - 4)(x + 1)(x-2) (10 pts.) a. What happens to the curve as the value of x becomes positively and negatively large? b. Does the graph of the function exhibit symmetry? If yes, with respect to what? (x- axis, y-axis, or origin) c. Does the graph of the function intersect the x-axis? If yes, at what point(s)? d. Does the graph intersect the y-axis? If yes, at what point(s)? e. Sketch the graph of the given polynomial function