Solving Algebraic Functions | algebraic function
KeyTerms o Domaino Rangeo Relationo Verticallinetesto One-to-oneo Horizontallinetesto Equationo Solutiono Zero(ofafunction)Objectives o Learnmoreaboutfunctions(ingeneral)andtheirpropertieso Usegraphstoexploreafunctionscharacteristicso Gainanunderstandingofinversefunctionsandcompositionsoffunctionso Understandtherelationshipbetweenfunctionsandequations PropertiesofFunctions Recallthatafunctionisarelati...
Key Terms
o Domain
o Range
o Relation
o Vertical line test
o One-to-one
o Horizontal line test
o Equation
o Solution
o Zero (of a function)
Objectives
o Learn more about functions (in general) and their properties
o Use graphs to explore a functions characteristics
o Gain an understanding of inverse functions and compositions of functions
o Understand the relationship between functions and equations
Properties of Functions
Recall that a function is a relation between certain sets of numbers, variables, or both. Lets now refine our understanding of a function and examine some of its properties. Fundamentally, a function takes an input value, performs some (perhaps very simple) conv...