5. [7 marks] Sketch a graph of a function f that has all of the following properties: - f is continuous for all s: 75 1 - info) = 2 and Hm re) = 2 II f'(m) is dened for all x 79 1 II _,l\"(r)=|fllat:t=1only.r n \"In x) r so and \""1 x) r oo zJl xaH' 6. [5 marks] Show that for any cubic function of the form ns) = of + be? + on: + 0!, there is a single point of inection and the slope of the curve at that point is c 33:. 'r'. [6 marks] (a) What is the linearization L(:c} of f (:3) = #1 + x at D? (h) Rounded to 4 decimal places, determine the error in using the linear approximation from part (a) to evaluate f at a: = 0.04