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