Question 1 [40 marks] Suppose the following data, collected in a certain experiment, is to be used to determine the underlying function, f(.1:) and to use it to approximate the value f (0.25). i 0 1 2 3 xi 1 {}.5 0 0.5 fr 0 . 86199480 995802009 1.0986123 1.2943767 (c) The Bezier polynomial obtained by using (5:0, ag,\" and (x3, f($3)) as the endpoints and the other intermediate points as guide points