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Lecture Mathematics 53: Lecture 1.0 reweview of functions. The main contents of this chapter include all of the following: Functions, basic types of functions, constructing a table of signs, operations on functions, piecewise-defined functions, functions as mathematical models. | Review of Functions Mathematics 53 Institute of Mathematics UP Diliman Instituteof Mathematics UP Diliman Review of Functions Mathematics 53 1 43 For today Functions Basic Types of Functions Constructing a Table of Signs Operations on Functions T0 Piecewise-defined Functions T0 Functions as Mathematical Models Instituteof Mathematics UP Diliman Review of Functions Mathematics 53 2 43 Functions Definition Let X and Y be nonempty sets. A function f from X to Y denoted f X Y is a rule that assigns to each element of X a unique element of Y. o X domain of f denoted dom f o Y codomain of f The set of all elements of Y that are assigned to some element of X is the range of f denoted ran f. Instituteof Mathematics UP Diliman Review of Functions Mathematics 53 4 .
