MATH 041 Lecture Notes - Lecture 3: Floor And Ceiling Functions, Step Function, Even And Odd Functions

• School: PSU
• Department: Mathematics
• Course: MATH 041
• Professor: Mr.Terry M.Blakney

Document Summary

The graph of a function f is the collection of ordered pairs (x, f(x)) Every x value can only have one y value for it to be a function. Maximum: the maximum is the highest value in a function. Minimum: the minimum is the lowest value in a function. The greatest integer function is an example of a step function whose graph resembles a set of stair steps. Some values of the greatest integer functions are as follows. A graph has symmetry with respect to the y-axis if whenever (x, y) is on the graph, then so is the point (-x, y). A graph has symmetry with respect to the origin if whenever (x, y) is on the graph, then so is the point (-x, -y). A function whose graph is symmetric to the y-axis is an even function. f(-x) = f(x) A function whose graph is symmetric to the origin is an odd function. f(-x) = -f(x)