1)

Sketch the graph ofa function g(x) on paper or using a graphing tool. Mark three distinct points, D, E, and F, on this function, such that the xcoordinate of point D is less than the X-coordinate of point E, which is in turn less than the x-coordinate of point F. Additionally, ensure that the y-value of g(x) at point D is less than the y-value of glx) at point E, which is equal to l, and the y-value of g(x) at point F is greater than 1. a) On a sheet of paper, draw the graph of a polynomial function g'(x). Select two points, A and B, such that the x-coordinate of point A is negative, the x- coordinate of point B is positive, and zero lies between A and B. Ensure that g'(x) is negative at point A, positive at point B. and the second derivative of g'(x) is positive at point A while it is negative at point B. b) Based on the graph of g'(x), sketch the graph of glx) on a separate sheet of paper. Ensure that the y-values of glx) at points A and B are both positive, and accurately represent the x-intercepts of g'(x) on the graph of glxl