c) State the domain of f (x): 2K d) Determine: /4K i) im f (x) = x-3 ii) lim f (x) = X- e) Determine: /10A i) f'(5) ii) at x = -1 iii) IRC at a x = - 4 f) Write the equation of the tangent at a point of your choice. Show all steps 15A g) Sketch by hand only one branch of your piecewise function and draw its derivative function on the same grid. /4C 2. Rate of Change @ Home 14T /4C Recall the examples of rate of change done during online class (Bolt's record, vases, bathtub, dog popping balloons...etc). Choose an original example of rate of change on your surrounding. Post a picture or video of it, describe how is the rate of change changing and sketch a graph to illustrate your thinking.