2. Let f(a:) = (a: 1)3 + 1 and g(:c) = (:1: 2)2. Explain why the graphs of f and g must meet Where :6 = 1. Give a convincing reason that the graphs of f and 9 cannot meet at any real number other than at :c = 1. (Hint: consider the derivative of f 9.) Sketch the graphs of f (:13) and 9(55), on the one plot, for 1 g a: S 2. Show the coordinate axes with values labelled, and all relevant intersection points. Find the area of the region that lies between the y axis, and the plots of f and 9 between m = 0 and :1: = 1