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Assignment Now that you have had some practice with calculating the average and instantaneous rates of change, you will have an opportunity to demonstrate what you have leamed by completing an assignment. Please complete the questions below, which must then be submitted to your instructor for grading. ('14 marks} 1. Determine the average rate of change between the points x1 = -4 and x2 = 4 in the function f(x) = x2. [2 marks knowledge) 2. Determine the average rate of change between the points x1 = 0 and x2 = 10 in the function rot) = 3x2 + 3: +1. (2 marks knoMedge) 3. Consider the function f(x) = 3x2 - 16. Using the difference quotient for tangent lines, determine the instantaneous rate of change at the point x = -'1 by choosing the following values for h: (6 marks thinking] a] h = 1 b] h = 0.1 c) h = 0.01 4. Comment on your results in parts a to c above. Which value of h gives you the best estimate of the instantaneous rate of change at the point x = -1? Why? What can you do to get an even better estimate of the instantaneous rate of change at the point x = -'l . [4 marks thinking] 5. Find the value of the instantaneous rate of change for each of the following functions. [6 marks knowledge) a.g(x)=x2+7'x,x=2 b. h(x)=x3-x,x=fl