Please help

7 Consider the following data from an experiment that was ran two times. X -2.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 4.0 5.0 5.0 Y 0.1 -1.1 35.6 40.4 -0.3 2.0 2.0 2.0 3.0 3.0 4.0 4.0 -24.0 23.8 0.4 -4.4 60.6 52.7 96.5 89.9 -0.2 1.9 a) [1 ]Graph the data, (use little o's, not dots). b) [5]Estimate the integer roots, and model the data with a polynomial function. c) [2]Use your function to estimate the instantaneous rate of change at x=-1. Show your steps. - 20 d) [1 ]In which interval is there a local extrema [-2,-1] or [-1,0]? e) [1]Is the local extrema in d) a local minimum or a local maximum? 8 [3 marks] If 5x - 3 is a factor of 7x3 + kx2 - x - 6 what must the value of k be, (express your answer as a rational number)? 9 Considerf (x) = 45x3 + 81x2 + 7x - 5 demonstrate a full understanding of the content of this unit, (i.e. do not simply type the equation into a graphing calculator-be sure to demonstrate all of your analytical skills-analytically unsupported conclusions are not worth marks). a) [6 marks]Factor f fully. b) [5 marks] Use f's roots leading co-efficient, and y-intercept to sketch a graph of f