Domain and Range

Lesson: Input/Output, Independent/Dependent Variables, Doman and Range

​Any set of ordered pairs is a relation. Only certain relations are functions!

​Review from previous lesson

Relations and Functions

​

Each input has one and only one output!

​This table represents a relation that is NOT a function.

Do you know why?






Because the input value -1 is paired with 2 different output values.

Multiple Choice

Is this relation a function?

• Yes

• No

Multiple Choice

Is this relation a function?

• Yes

• No

​In every function, we have the input values, represented by x. A list of all the input values in called the domain.

The output values are represented by y. A list of all the output values is called the range.

​List the members of the domain or the range in order from least to greatest, and do not repeat.

Domain: -4, -2, 2, 3, 6, 11, 19

Range: -3, 1, 2, 5, 12, 16

Fill in the Blanks

What is the domain of this function? Don't forget to put the members of the domain in order from least to greatest.

Fill in the Blanks

What is the range of this function? List them in order from leasst to greatest.

​Vocabulary

Relation: Any set of ordered pairs

Function: A kind of relation in which each input value has one and only one output value

Domain : All the input values of a function

Range: All the output values of a function

Multiple Choice

A function is represented in this table. The set (-7, -4. -2, 8, 10, 19) lists members of the -

• Domain

• Range

​How to tell if a graph shows a function:

Use the "vertical line" test. (Also called the pencil test.)

​Not a function

​Function

Multiple Choice

Describe this graph.

• This is a function.

• This is not a function.

Multiple Choice

Which one of these is the range for the function shows?

• (1, 2, 3, 4)

• (5, 6, 7, 8)

Open Ended

Describe a function.

Open Ended

Tell how to find the domain of a function.

​Great work!

Now go to Google Classroom to find the IXL skills. You need to do each of them for a grade and it will give you the practice you need.