Even, Odd, or Neither Functions The Easy Way! - Graphs & Algebraically, Properties & Symmetry

This algebra 2 and precalculus video tutorial explains how to determine whether a function f is even, odd, or neither algebraically and using graphs. This video contains plenty of examples and practice problems using variables and constants. First, plug in -x into the equation and see if the sign changes. If all signs change, it's an odd function. If they all remain the same, then it's an even function. If some change while others do not, the function is neither even or odd. For graphs, even functions are symmetric about the y axis. For odd functions, the symmetry exists about the origin. For circles with even and odd properties, it does not pass the vertical line test and is therefore not a function.

Domain and Range Formula Sheet:
https://bit.ly/4eheN2W

Introduction to Functions:
   • Functions - Vertical Line Test, Order...  

Evaluating Functions:
   • Evaluating Functions - Basic Introduc...  

Function Operations:
   • Function Operations  

Increasing and Decreasing Functions:
   • Increasing and Decreasing Functions -...  

Relative Maximum & Minimum Values:
   • Identifying The Relative Maximum and ...  

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Relations and Functions:
   • Relations and Functions | Algebra  

Domain and Range From a Graph:
   • Domain and Range of a Function From a...  

How To Find The Domain of a Function:
   • How To Find The Domain of a Function ...  

Average Rate of Change of a Function:
   • Average Rate of Change of a Function ...  

The Difference Quotient of a Function:
   • Difference Quotient  

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Evaluating Piecewise Functions:
   • Evaluating Piecewise Functions | PreC...  

Graphing Piecewise Functions:
   • Graphing Piecewise Functions - Precal...  

Composite Functions:
   • Composite Functions  

How To Evaluate Composite Functions:
   • How To Evaluate Composite Functions U...  

Composite Functions - Data Table:
   • How To Evaluate Composite Functions U...  

Comp. of 3 Functions - Data Table:
   • Composition of Three Functions With D...  

Decomposing Functions:
   • Decomposing Functions - Composition o...  

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Introduction to Inverse Functions:
   • Introduction to Inverse Functions  

How To Find The Inverse of a Function:
   • How To Find The Inverse of a Function  

Verifying Inverse Functions:
   • Verifying Inverse Functions | Precalc...  

Horizontal Line Test - 1 to 1 Functions:
   • Horizontal Line Test and One to One F...  

Vertical Line Test:
   • Vertical Line Test  

Graphing Inverse Functions:
   • Graphing Inverse Functions  

Composite and Inverse Functions:
   • Composite Functions and Inverse Funct...  

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Even and Odd Functions:
   • Even, Odd, or Neither Functions The E...  

Transformations of Functions:
   • Transformations of Functions | Precal...  

Linear Functions:
   • Linear Functions  

Functions and Graphs - Problems:
   • Functions and Graphs | Precalculus  

Functions - Test Review:
   • Functions  

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