1) Let's define the function of as follows: f (x) = 6x -11x2 -57x + 20 for x in the interval [-2.5, 4] . For each of the following, type your simplified numerical answer in the blank box. a) f (-2.5) = b) f ( 4 ) = c) Find the derivative. How many solutions are there for the equation f' (x) = 0? There are solutions. d) Find all of the solutions to the equation f'(@) = 0. Round these solutions to two decimal places. The smallest solution is and the greatest solution is For this last question, type yes if your answer is yes and type no if your answer is no. e) Does this function f satisfy the assumptions of Rolle's Theorem