Question 1: f(x)=x -5x (a) Find the maximum or minimum and x and y intercepts for f (x) . (b) Sketch f(x) and shade the region bounded between f (x) and x-axis for x between () and 8. Use your curve sketching skills than the calculator. (c) Check if f (x) becomes negative between x =0 and x =8? If it does, then state the interval over which f (x ) is negative. (d) Write the integral to find the area of shaded region in part (a). Calculate the area by evaluating this integral