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

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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 - Free Formula Sheet:


Functions - Free Formula Sheet:


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Introduction to Functions:


Evaluating Functions:


Function Operations:


Increasing and Decreasing Functions:


Relative Maximum & Minimum Values:


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Relations and Functions:


Domain and Range from a Graph:


How To Find the Domain of a Function:


Average Rate of Change of a Function:


The Difference Quotient of a Function:


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Evaluating Piecewise Functions:


Graphing Piecewise Functions:


Composite Functions:


How To Evaluate Composite Functions:


Composite Functions - Data Table:


Comp. of 3 Functions - Data Table:


Decomposing Functions:


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Introduction to Inverse Functions:


How To Find the Inverse of a Function:


Verifying Inverse Functions:


Horizontal Line Test - 1 to 1 Functions:


Vertical Line Test:


Graphing Inverse Functions:


Composite and Inverse Functions:


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Even and Odd Functions:


Transformations of Functions:


Linear Functions:


Functions and Graphs - Problems:


Functions - Test Review:


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Final Exams and Video Playlists:


Full-Length Videos and Worksheets: