1. Write a difference quotient that can be used to estimate the instantaneous rate of change of y=xz at x = -5 2. For the given expression identify 7(2.0001)--28 0.0001 a) The equation of y=f(x) b) The value of a c) The value of h d) The tangent point 3. For the given piecewise function f(x) = 2-x2 ifxs-1 x -1 ifx>-1 Determine the value of each limit, if it exists. a) lim f(x) b) lim f(x) x--1 x--1 c) lim f(x) d) lim f(x) x+0 4. Determine the average rate of change from x = -1 to x = 3 for the function given below a) y = 5x - x2