– function f rule that assigns to each element x in a set D exactly one element, called f(x), in set E.
– Usually consider: D,E sets of real numbers.
– Ddomain, and Erange.
Representations of functions
1- verbally (words) 2- numerically (table) 3- visually (graph) 4- algebraically (formula).
|function||In algebra||In geometry|
|even||f(-x)= f(x)||Its graph is symmetric with respect to the y-axis|
|Odd||f(-x)= -f(x)||Its graph is symmetric about the origin|
Increasing and Decreasing functions
increasing:x1x2 f(x1) f(x2)
decreasing: x1x2f(x1) f(x2)