(d) (i) Sketch the graph of the function f(x) = e- 4 showing clearly the coordinates of any points of intersection with the axes and the equations of any asymptotes. On the same diagram sketch the graph of the function y f"(x) showing clearly the coordinates of any points of intersection with the axes and the equations of any asymptotes. (ii) (iii) Find an expression for y =f (x) in terms of x (iv) Explain why the x coordinate of any point of intersections of the graphs y= f(x) and y=f"(x) satisfies the equation e* - x-4 0

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