Relation vs. Function

Functions vs. Non-Functions

Take out your math journal we are going to take notes!

Definitions (You need to know)

• Domain: All possible inputs of a relation (a list of every x-value in table, graph, mapping, or set of ordered pairs). 

• Range: All possible outputs of a relation (a list of every y-value in a table, graph, mapping or set of ordered pairs).

• How to remember? Show me your ID DR. XY

Definitions (You need to know)

• Relation: a set of inputs and outputs ( a set of order pairs)

• Function: A function is a type of relation with only one input for each output

• How to Remember? Use this life lesson:

Example 1: Is this a function?

Domain:

Range:

Example 2: Is this a function?

Domain:

Range:

Example 3: Is this a function?

Domain:

Range:

Example 4: Is this a function?

Domain:

Range:

We do together!

Example 5: Is this a function?

Domain:

Range:

Multiple Choice

Does the table (example 4) represent a function?

• Yes

• No

Fill in the Blanks

Fill in the Blanks

We do together!

Example 6: Is this a function?

Domain:

Range:

Multiple Choice

Does the graph (example 5) represent a function?

• Yes

• No

Multiple Select

What are the domain and range of the graph? (Select more than one answer)

• Domain: {-4,-4, 3, 7}

• Domain: {-4,-3,0,2}

• Range: {-4,-4,3,7}

• Range: {-4,-3,0,2}

We do together!

Example 7: Is this a function?

Domain:

Range:

Multiple Choice

Does the mapping represent a function?

• yes

• no

We do together!

Example 8: Is this a function?

Domain:

Range:

Multiple Choice

Does the set of order pairs represent a function?

• yes

• no

Your Turn to Practice

Go to google classroom and start the practice on Microsoft Forms