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. Introduction to Functions: https://www.youtube.com/watch?v=DrEXTC6mIO8 Evaluating Functions: https://www.youtube.com/watch?v=HyNie_PYgsY Function Operations: https://www.youtube.com/watch?v=3gaxVHVI4cI Increasing and Decreasing Functions: https://www.youtube.com/watch?v=Dyl7jPlJXOM Relative Maximum & Minimum Values: https://www.youtube.com/watch?v=GaltHJF6WyI _____________________________________ Relations and Functions: https://www.youtube.com/watch?v=wbBY2tTqXDA Domain and Range From a Graph: https://www.youtube.com/watch?v=KirGQOwjBVI How To Find The Domain of a Function: https://www.youtube.com/watch?v=djT6-YamHaA Average Rate of Change of a Function: https://www.youtube.com/watch?v=f_Q0qlwlclQ The Difference Quotient of a Function: https://www.youtube.com/watch?v=qQgVomi8lCc _____________________________________ Evaluating Piecewise Functions: https://www.youtube.com/watch?v=OYOXMyFKotc Graphing Piecewise Functions: https://www.youtube.com/watch?v=Uzw9tsGq2Pw Composite Functions: https://www.youtube.com/watch?v=ZFPkQkURSxk How To Evaluate Composite Functions: https://www.youtube.com/watch?v=6vQxIG4lJ3w Composite Functions - Data Table: https://www.youtube.com/watch?v=6vQxIG4lJ3w Comp. of 3 Functions - Data Table: https://www.youtube.com/watch?v=Ote1KvW6BXw Decomposing Functions: https://www.youtube.com/watch?v=NmfaC7etZms _________________________________ Introduction to Inverse Functions: https://www.youtube.com/watch?v=TN4ybFiuV3k How To Find The Inverse of a Function: https://www.youtube.com/watch?v=2zeYEx4eTdc Verifying Inverse Functions: https://www.youtube.com/watch?v=6QamgSPprjA Horizontal Line Test - 1 to 1 Functions: https://www.youtube.com/watch?v=6u9Qh1Vi_Qw Vertical Line Test: https://www.youtube.com/watch?v=Mxe2lX1htNk Graphing Inverse Functions: https://www.youtube.com/watch?v=ukEtad_aml4 Composite and Inverse Functions: https://www.youtube.com/watch?v=GEgFmxxOJno __________________________________ Even and Odd Functions: https://www.youtube.com/watch?v=fKyBOLsqRlo Transformations of Functions: https://www.youtube.com/watch?v=Tmdrjs9xufc Linear Functions: https://www.youtube.com/watch?v=BtcKotD6Ni8 Functions and Graphs - Problems: https://www.youtube.com/watch?v=kvU9sOzT2mk Functions - Test Review: https://www.youtube.com/watch?v=1xATmTI-YY8 ______________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections