MATH-M 211 Lecture 1: Lesson 1
Document Summary
A function is a rule that assigns to each element x in a set d (domain) exactly one element which is called f(x) in a set e. For example, d can be ir, the set of all real numbers. Four ways to represent a function: by words, by table, by graph, by an explicit formula like f(x)=x+1. A curve in the xy-plane is the graph of a function if and only if no vertical lines intersects the curve more than once. The domain of a function is the set of points where f is defined. F is said to be odd f(-x) = -f(x) Example f(x)=x3 f(-x)=(-x)3 = (-1)3 x3 = -x3 = -f(x) Function is said to be even if f(-x) = f(x) A function f is increasing on an interval i. A function f is decreasing on an interval i.
