Given this function: y=x(x-4) a. Create your own average rate of change question (not necessarily a word problem) and provide the algebraic solution. b. Create your own instantaneous rate of change question and provide the algebraic solution (using First Principles). Use a UNIQUE example(s) to support your answers EXPLAIN AND JUSTIFY EACH STEP Explain your algebraic analysis of your Average Rate of Change(AROC) and Instantaneous Rate of Change(lROC) solutions.(JUST|FY THE ANSWER TO SHOW YOUR KNOWLEDGE OF LIMITS) Level R3 Learning Goals Success Criteria I am learning to use secants I and tangents to represent the . concept of rates of change .- can describe the different between average and instantaneous rates of change and how the relate to secants and tan. ents o-rahicall can find the average rate of change of a function graphically and algebraically can use the concept of an average rate of change to nd an instantaneous rate of chance can use the concept of instantaneous rates of change and sequences and series to investigate the definition of a limit can use limits to find the slope or equation of a tangent (using first principles) R2.l I am learning to connect rates of change to find the limit R22 of a function R23 R3 1 can recognize that the limit of a function can be used to nd the derivative of the function can verify the properties of limits I am learning about the . properties of limits and their connection to continuity R32 can find the continuity or discontinuity of functions using limits