Download presentation
Presentation is loading. Please wait.
Published bySusanti Kusuma Modified over 5 years ago
1
Periodic Functions; Stretching and Translating Graphs
Sec. 4.4
2
Objective To determine periodicity and amplitude from graphs, to stretch and shrink graphs both vertically and horizontally, and to translate graphs
3
Definitions Periodic Function: A continuing function whose x and y values that repeat periodically
4
Examples Graphically
5
Examples Graphically
6
A function f is periodic if there is a positive number p, called a period of f, such that:
f(x+p)=f(x)
7
Parts of the periodic funtion
Period: a horizontal distance that a full cycle of a function takes Amplitude: The measure of a vertical distance of a function and is calculated by:
8
Changing the period and the Amplitude of a periodic function.
If period function has a period p and amplitude A, then: y= nf(x) has period p and amplitude of nA y= f(nx) has period p/n and amplitude of A.
9
Example of Periodic Function
10
Page 142 Please refer to the pink table on top of page 142 for the summary of the points discussed in class.
11
Homework Sec 4.4 Part 1: #1-5 all
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.