This math video tutorial explains what a function is. It is a special relation where there is exactly one output for every input. This video explains how to evaluate a function and how to determine if a graph represents a function using the vertical line test. Access Full-Length Premium Videos: https://www.patreon.com/MathScienceTutor _______________________________________________________________________________________________ Algebra For Beginners: https://www.youtube.com/watch?v=MHeirBPOI6w Algebra 1 Review Study Guide: https://www.youtube.com/watch?v=TbJ5gqLRpeM Algebra Final Exam Review: https://www.youtube.com/watch?v=U0Y8nSmEpNM Pre-Calculus Final Exam Review: https://www.youtube.com/watch?v=Tj-V6KnwM5w ______________________________________________________________________________________________ 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 and 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 Evaluating Composite Functions - Data Table: https://www.youtube.com/watch?v=6vQxIG4lJ3w Composition of 3 Functions With 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 - One to One 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 Functions 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 - Practice 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 Probability - Basic Intro: https://www.youtube.com/watch?v=SkidyDQuupA Intro to Statistics: https://www.youtube.com/watch?v=XZo4xyJXCak