1) Consider the following data set: [K] _I__ __ Calculate average rate of change in y over each interval (part a and b). Determine an approximation for the instantaneous rate of change in y at x = 1(part c) a)3Sxl b)lx5 c} x = l 2)Which of the following statements is truet' false? {TI F) [K] a) Discontinous functions are non- differentiable at the points where they are discontious b} If the derivative does not exsit at a point on the curve, the function could be differentiable at that x-valuc c} The limit of the function at x =a maybe exist eventhOugh the function is diScounteOUS at x = a d} The instantaneous rate of change refers to the rate of change ofa function over an interval e} The derivative of y=f {x} is a new function y= f '(x), which represents the slope of the secent line at any point on the curve ofy= f (x) 3) Evaluate each limit for the graph. lim f(x)= lim f(x)= lim f(x)= * 3+ 4) Calculate the following limits. [T] a) lim * +5x+6 x-3 X-3 b) lim *-9 VX - 3 -9