Given this function: y=x(x4) 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.(JUSTlFY THE ANSWER TO SHOW YOUR KNOWLEDGE OF LIMITS) Learning Goals for OLG 1 Level Learning Goals Success Criteria R1.1 I can describe the different between average and instantaneous rates of change I am learning to use secants and how they relate to secants and tangents graphically R1 and tangents to represent the R1.2 I can find the average rate of change of a function graphically and algebraically concept of rates of change R1.3 I can use the concept of an average rate of change to find an instantaneous rate of change R2.1 I can use the concept of instantaneous rates of change and sequences and I am learning to connect rates series to investigate the definition of a limit R2 of change to find the limit R2.2 I can use limits to find the slope or equation of a tangent (using first principles) of a function R2.3 I can recognize that the limit of a function can be used to find the derivative of the function I am learning about the R3.1 I can verify the properties of limits R3 properties of limits and their connection to continuity R3.2 I can find the continuity or discontinuity of functions using limits