Function Operations Skill 30 a Objectives Students will

Function Operations Skill 30 a

Objectives Students will be able to: Understand the operations with polynomial functions. Key Vocabulary • Relation, Function • One-to-one • Vertical Line Test • Domain and Range • Compositions of Functions • Inverse Functions

What is a Polynomial? Term Definition Image/Example Relation The mapping between x-value and y-values of ordered pairs. {(2, 4), (5, 1), (-3, 7)} Function A relation in where each (“x”) matches only one (“y”). A function for which every One-to-One “x” value maps to a unique “y” value An informal test to determine Vertical Line whether a graph is that of a Test function.

What is a Polynomial? Term Definition The set of input values that go into a relation or a Domain function. The set of output values that Range come out of a relation or a function. A function operation where Composition one function is applied to the of Functions results of another. A pair of functions that can Inverse reverse each other. Functions Image/Example

Difference between Relations and Functions A relation is just a relationship between sets of information. However, a function is a specific relationship between sets of information. Functions relate one output for every input and every input must have one and only one output.

Examples; Relations and Functions This is a relation that is not a function because there “one” input goes to multiple outputs. The relation is a function as there is only one arrow coming out of each input.

Basic Operations of Functions

Examples: Basic Function Operations

Polynomial Functions Questions? ! Worksheet Prepare for Quiz

Function Operations Skill 30 b

Polynomial Functions Questions? ! Worksheet Prepare for Quiz