Relations and Functions in Algebra: Basic Concepts and Notation

This Algebra video tutorial provides a basic introduction into relations and functions. It explains how to write the domain and range of a relation and how to determine if the relation is a function. It also explains how to draw a mapping diagram of the relation as well as a function table. Finally, this video explains how to use the vertical line test to determine if the relation represented by a graph is a function. Final Exam and Test Prep Videos: https://bit.ly/41WNmI9 _______________________________________________________________________________________ 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 The Weird Graph of Y = X^X: https://www.youtube.com/watch?v=Bnp1-Xd-Eo4 Functions and Graphs - Problems: https://www.youtube.com/watch?v=kvU9sOzT2mk Functions - Test Review: https://www.youtube.com/watch?v=1xATmTI-YY8 ________________________________________________________________________________________ Logarithms Practice Problems: https://www.youtube.com/watch?v=7DVbQKI600k Writing Equations of Ellipses: https://www.youtube.com/watch?v=OPSCKXXvWiM Hyperbolas - Conic Sections: https://www.youtube.com/watch?v=Iu-4-fizlD4 Arithmetic Sequences: https://www.youtube.com/watch?v=XZJdyPkCxuE Geometric Sequences: https://www.youtube.com/watch?v=zRKZ0-kOUZM Intro to Probability: https://www.youtube.com/watch?v=SkidyDQuupA Intro to Statistics: https://www.youtube.com/watch?v=XZo4xyJXCak SAT Math Test Prep: https://www.youtube.com/watch?v=fTGuTEQCsZY ACT Math Test Prep: https://www.youtube.com/watch?v=SsA7rZ8kczM ________________________________________________________________________________________ Algebra For Beginners: https://www.youtube.com/watch?v=MHeirBPOI6w Algebra 2 Introduction: https://www.youtube.com/watch?v=i6sbjtJjJ-A Algebra 1 Review Study Guide: https://www.youtube.com/watch?v=TbJ5gqLRpeM Algebra Final Exam Review: https://www.youtube.com/watch?v=U0Y8nSmEpNM