Show work please

1. (1 point) Let f(x) = -2x2 - 8x + 24. Find the average rate of change of f(x) on the interval [ -2, 4]. 2. (1 point) Let f(x) = 2x-1 Find the average rate of change of f(x) on the x+3 interval [ -1, 3]. 3. (1 point) The graph below shows the total amount appropriated annually (in billions of dollars) for the U.S. Department of Education in recent years. Find the average rate of change per year in Department of Education appropriation from 2009 to 2013. 169 68.35 68.11 68 + 67- Amount (in billions of dollars) 66 - 65.70 65+ 64.14 64 - 63.52 53 - 2008 2009 2010 2011 2012 2013 2014 4. (1 point) The distance in feet of an object from a starting point is given by the function s(t) = 2t2 -5t + 40, where t is time in seconds. Find the average velocity of the object from t = 2 s to t = 6 s. 5. (1 point) A company determines that the cost in dollars to manufacture x cases of the DVD "Mathematicians Caught in Embarrassing Moments" is given by the cost function C(x) = 100 + 15x - x2 (0