How do you determine whether a function is periodic or not?

  • Context: High School 
  • Thread starter Thread starter Harouls
  • Start date Start date
  • Tags Tags
    Function Periodic
Click For Summary
SUMMARY

Determining whether a function is periodic involves analyzing the function's behavior over specific intervals. The key method discussed is to evaluate the function at a given X value and at X plus the period, checking if the outputs (Y values) are identical. This process can be complex when dealing with multiple functions, as variations in behavior may occur in different regions of the function. The discussion emphasizes the importance of patience and careful analysis when assessing periodicity.

PREREQUISITES
  • Understanding of periodic functions and their properties
  • Familiarity with function evaluation techniques
  • Basic knowledge of mathematical analysis
  • Experience with graphing calculators or software
NEXT STEPS
  • Study the properties of periodic functions in detail
  • Learn how to use graphing calculators to visualize function behavior
  • Research techniques for analyzing piecewise functions
  • Explore mathematical software tools for function analysis, such as Desmos or GeoGebra
USEFUL FOR

Students, educators, and mathematicians interested in understanding function periodicity, as well as anyone involved in mathematical analysis or teaching calculus concepts.

Harouls
Messages
1
Reaction score
0
Specifically on a calculator which makes it hard to determine the period of the function.
I realize you're supposed to find the period, and add random X values to that period and see if the Y is the same for both the X + period and just the X, but I have to go over 10 functions and determine whether they're periodic or not, and I get confused as to whether the function might change in certain areas but not others.
A descriptive answer would be appreciated, thanks.
 
Mathematics news on Phys.org

Similar threads

High School What function satisfies this table?
  • · Replies 51 ·
2
Replies
51
Views
4K
Graduate Sum of Related Periodic Functions
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Integral of trig functions over a period
  • · Replies 8 ·
Replies
8
Views
22K
Undergrad What's the definition of "periodic extension of a function"?
  • · Replies 14 ·
Replies
14
Views
5K
Undergrad What are the applications of inverses of vector functions?
  • · Replies 17 ·
Replies
17
Views
3K
Undergrad How to test whether a signal is periodic or not?
  • · Replies 3 ·
Replies
3
Views
11K
High School Difference between functions and variables
  • · Replies 13 ·
Replies
13
Views
2K
Graduate Fitness function for window length of filter
  • · Replies 1 ·
Replies
1
Views
1K
MATLAB Using repmat to plot a periodic function
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad How Do You Calculate Day-Specific Phase Shifts in Excel for Sine Waves?
  • · Replies 7 ·
Replies
7
Views
3K