Prerequisite: TJ Math 4 The study of Advanced Functions includes an extension of topics first introduced in algebra. All parent function graphs and their transformations are a focus as well as the important features of graphs such as symmetry, concavity, extrema and end behavior. Operations on functions are studied, especially composition, and finding appropriate domains is stressed. Specific functions such as exponential and logarithmic are explored and used for graphing, solving equations, and applications. Other topics of study include sequences and series, proof by math induction, the exploration of conic sections and their applications, and an introduction to the fundamentals of calculus, including limits, continuity and the concept of the derivative. The process standard focus will be Communication. Upon conclusion of TJ Math 5, students will be advised as to which level of AP Calculus they should take the upcoming school year. Only students who have successfully completed TJ Math 4 are eligible for summer school enrollment in TJ Math 5.