Math 95 Section 3.2 Introduction to Functions used.notebook January 06, 2016

Section 3.2Introduction to Functions

Objectives:

• Define Relation, Domain, and Range

• Identify a function

• Use the Vertical Line Test for functions

• Find the domain and range of a function

• Use function notation

Math 95 Section 3.2 Introduction to Functions used.notebook January 06, 2016

Vocabulary:

Function:

Relation:

Domain:

Range:

a set of ordered pairs

the set of the second components of a relation

the set of the first components of a relation

a relation in which each first component of the ordered pairs corresponds to exactly one second component.

(Translated)

Math 95 Section 3.2 Introduction to Functions used.notebook January 06, 2016

Practice:Determine the Domain and Range of each relation:

a.)

b.)

Are they functions?

c.)

Math 95 Section 3.2 Introduction to Functions used.notebook January 06, 2016

Vocabulary:Vertical Line Test:

Math 95 Section 3.2 Introduction to Functions used.notebook January 06, 2016

Practice:Do the following graphs pass the Vertical Line Test?

Are they functions?

State each domain and range.

Math 95 Section 3.2 Introduction to Functions used.notebook January 06, 2016

Practice:Do the following graphs pass the Vertical Line Test?

Are they functions?

State each domain and range.

Math 95 Section 3.2 Introduction to Functions used.notebook January 06, 2016

Vocabulary:Function Notation: If is a function of , we can write

(read “ of ”) showing depends on or is a function of .

Dependent Variable:

Independent Variable:

(Translated)

Math 95 Section 3.2 Introduction to Functions used.notebook January 06, 2016

Using Function Notation:Given: and

Find: