MATH0801 Study Guide - Final Guide: Farad, Even And Odd Functions, Inverse Function
Document Summary
Definition: a function f from a set x to a set y is a rule that assigns a single value f x y to each x x . In this case, x is called the domain of f and the set of all values f x is called the range of f. Notice that the range of f is a subset of y. Range y=x2 y= 1 x y= x y= 4 x y= 1 x2 y= x 2 1 x 2 1. Remark: a curve in the xy-plane is the graph of a function if and only if no vertical line intersects the graph more than once. Definition: a piecewise function uses different formulas on different parts of its domain. Definition: a function f that satisfies f ( x )=f ( x) is called an even function. Even functions have reflective symmetry about the y-axis.
