Types of functions

List of periodic functions

This is a list of some well-known periodic functions. The constant function f (x) = c, where c is independent of x, is periodic with any period, but lacks a fundamental period. A definition is given for some of the following functions, though each function may have many equivalent definitions. (Wikipedia).

Video thumbnail

Lecture 9.1 Periodic functions

Periodic functions are functions that repeat themselves at regular intervals. In this lecture, we discuss the properties of periodic functions.

From playlist MATH2018 Engineering Mathematics 2D

Video thumbnail

Is Constant Function Periodic Function?

#shorts #mathonshorts Is Constant Function Periodic Function? The answer is yes, and any non-zero P is a period.

From playlist "Smarter In-A-Minute" Math on Shorts

Video thumbnail

Describing Functions (Discrete Math)

This video covered the various ways to describe functions in a discrete math class.

From playlist Functions (Discrete Math)

Video thumbnail

Introduction to Discrete and Continuous Functions

This video defines and provides examples of discrete and continuous functions.

From playlist Introduction to Functions: Function Basics

Video thumbnail

Analyze the characteristics of multiple functions

πŸ‘‰ Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Video thumbnail

Electrical Engineering: Ch 18: Fourier Series (13 of 35) Even Periodic Functions

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how even periodic functions affect the Fourier series. First video in this series can be seen at: https://youtu.be/0zZMCmKfbWk

From playlist ELECTRICAL ENGINEERING 17: THE FOURIER SERIES

Video thumbnail

Mathematica Tutorial 28 - Gold Prices with Signal Processing

In this mathematica tutorial you will learn how to apply signal processing tools to the price of gold to construct a price model that incorporates periodic components. *** SUBSCRIBE FOR MORE VIDEOS *** Never miss a daily video about Mathematics and Mathematica. Subscribe: https://www.yo

From playlist Mathematica Tutorials

Video thumbnail

How does the period affect the sine and cosine graph

πŸ‘‰ Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a sinusiodal graph with x-intercepts at x = n*pi/2, maximu

From playlist How to Graph Trigonometric Functions

Video thumbnail

What are the intervals of the initial period of tangent and cotangent

πŸ‘‰ Learn the basics of graphing a tangent and a cotangent function. To plot the tangent and the cotangent graph we choose a set of points and form a table of values with which we plot the points on the x-y coordinate axis to obtain the required graph. Notice, that the tangent function has

From playlist How to Graph Trigonometric Functions

Video thumbnail

Graphing the Cosine Curve with a Period Shift

πŸ‘‰ Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the vertica

From playlist How to Graph Trigonometric Functions

Video thumbnail

Graphing Sine of X with Period Shift and Reflection Over X Axis

πŸ‘‰ Learn how to graph a sine function. To graph a sine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the vertical sh

From playlist How to Graph Trigonometric Functions

Video thumbnail

Learn How to Graph Cosine with a Change in Period

πŸ‘‰ Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the vertica

From playlist How to Graph Trigonometric Functions

Video thumbnail

Graphing Cotangent with a Reflection

πŸ‘‰ Learn how to graph a cotangent function. To graph a cotangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the vertical shift from the parent function) and the

From playlist How to Graph Trigonometric Functions

Video thumbnail

Graph the Secant Function with an Extension of It's Period and Vertical Shift

πŸ‘‰ Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function)

From playlist How to Graph Trigonometric Functions

Video thumbnail

Learn How to Graph the Equation of Cosine

πŸ‘‰ Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the vertica

From playlist How to Graph Trigonometric Functions

Video thumbnail

When is a function bounded below?

πŸ‘‰ Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Video thumbnail

Periodic Functions and the Laplace Transform

Watch the Intro to the Laplace Transform in my Differential Equations playlist here: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 We've seen previously in the playlist that Laplace Transforms work great with piecewise functions, functions that have discontinui

From playlist Laplace Transforms and Solving ODEs

Related pages

Sawtooth wave | Hacovercosine | Triangle wave | Bessel function | Limaçon | Epicycloid | Hypotrochoid | Cas (mathematics) | Havercosine | Haversine | Floor and ceiling functions | Covercosine | Epitrochoid | Excosecant | Secant (trigonometry) | Bernoulli number | Periodic function | Square wave | Exsecant | Clausen function | Hypocycloid | Cotangent | Vercosine | Dirichlet function | Versine | Sign function | Cis (mathematics) | Cycloid | Tangent (trigonometry) | Cosine | Coversine | Spirograph | Cosecant | Heaviside step function | Hacoversine