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 Blank

What are the domain (Do NOT use spaces).

Fill in the Blank

What is the range of the table (Do NOT use spaces).

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

Fill in the Blank

What is the domain and function? DO NOT use spaces between commas and number.

Fill in the Blank

What is the range of the function? DO NOT use spaces between your answers

We do together!

Example 8: Is this a function?

Domain:

Range:

Multiple Choice

Does the set of order pairs represent a function?

• yes

• no

Fill in the Blank

What is the domain? DO NOT use spaces between your answers

Fill in the Blank

What is the range? DO NOT use spaces between your answers

Your Turn to Practice

Go to google classroom and start the practice on Microsoft Forms