I] [j 6, (02.01 HC) The graphs of fand f' are shown over the domain [4, 51' 7 6 y 5 4 3 2 1 0 X l 2 3 4 '5432-1012345 Graph of f Graph of f' Part A: Calculate the average rate of change of fever [4, 5]. Is the instantaneous rate of change of fever equivalent to the average rate of change of fever [4. 5]? If so, how many times are they equal in the given interval? (4 points) Part 8: Estimate the equation of a tangent line atx = 1 for the graph of ft (2 points) Irm {0071(4) lim f(x)7f(2) Part C: Find the value for each of " ' 2 x ' ('2) and " '2 x ' (2) or explain why it does not exist. (4 points) GA. Av Rate Ch Inst race change F (xz ) - f (x) X 2 - X: f ( 5 ) . F ( - 4 ) 5 - -4 2.5 - 1 A. 5 + 4 The instantaneous rate of change 1.5 I Is equivalent to the average 9 rate of change at 3 points within the quer inbred of [4 , 5 ) the average rate of change is * and on the derivative L graph the instantaneous rate of 16 Change hits to three times 2 B. X= -1 4= 2.5 2 (x, yo ) f' ( xo ) = 0 y - yo = f ( x ) ( X - X. ) y - 25: 0 ( x + 1 ) point slope form y = 2.5 stope int form C . Ym f ( x ) - f( -2 ) X - -2 X -(-2)