4.2 Relations & Functions

4.2 Relations & Functions

Learning Goals

• I can identify functions.

• I can find the domain and range of relations and functions.

Vocab

• Relation: the set of ordered pairs

• Domain: all the x-values of the ordered pairs

• Range: all the y-values of the ordered pairs

• Function: special type of relation. (no repeating x values)

Give the domain and range of each relation.  Tell whether the relation is a function.  Explain.

Give the domain and range of each relation. Tell whether the relation is a function. Explain.

Multiple Choice

All of the y values or outputs are called what?

• Domain
• Range
• Relation
• Function

Multiple Choice

All of the x values or inputs are called what?

• Domain
• Range
• Relation
• Function

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function 

Open Ended

What is the domain and range of the function?

Give the domain and range of each relation. Tell whether the relation is a function. Explain.

Multiple Choice

Is this a function? 

• Yes
• No

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function

Open Ended

What is the domain of the relation?

Multiple Choice

Which relation is NOT a function?

• {(1,-5), (3,1), (-5,4), (4,-2)}
• {(2,7), (3,7), (4,7), (5,8)}
• {(1,-5), (-1,6), (1,5), (6,-3)}
• {(3,-2), (5,-6), (7,7), (8,8)}

Open Ended

What is the range of the relation?

Multiple Choice

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.