1. Examine the given graph 1. Write a difference quotient that can be used to estimate the instantaneous rate of change of y=x at x = -5 2. For the given expression identify 7(2.0001)-28 0.0001 -6 a) The equation of y=f(x) f (xx) - - b) The value of a c) The value of h d) The tangent point a) State the domain of the function. 3. For the given piecewise function b) Evaluate the limit for the graph. f(x) = 2 -x2 ifxs-1 i) lim x-1 ifx>-1 x-1x+1 Determine the value of each limit, if it exists. ii) lim xFx+1 a) lim f(x) b) lim f(x) x--1 x--1 ii) lim x--1x +1 () lim f(x) d) lim f (x) x-+-1 x-+0' iv) f (-1) 4. Determine the average rate of change from x = -1 to x = 3 for the function given belo' 0 Application (All questions are of 5 marks) a) limx-o- 1. Determine the average rate of change from x = -3 to x = 2 for the given function using the difference quotient. y =2x - 1 b) limx-o+ Use the first principles definition to find the derivative of y=3x2 - 4x and then find th slope of the tangent at x=-2 c) limx-o 3. Consider a function y=f(x) such that limit-.-4- = 9, limitx-.-4+ = 7 f(-4) = 7 Explain whether each statement is true or false? d) limx-2 a) y = f(x)is continous at x = -4 b) The limit of f(x)as x approaches -4 does not exist e) limx-4 ) When x = -4 the value of the function is 9