Introduction to Functions

​Introduction to functions

What is a function? How do we determine if a graph, table, ordered pairs, etc. are a function?​

I will check to see if you completed the notes!

Make sure you watched the "functions doodle Notes" video from yesterday & completed the notes!!

Multiple Choice

Is this a function? How can you tell?

• Yes , it fails the vertical line test.

• No, it fails the vertical line test.

• Yes, it passes the vertical line test.

• No, it passes the vertical line test.

Multiple Choice

Is this relation a function?

• Yes

• No

Multiple Choice

Is this relation a function?

• Yes

• No

In a function x does NOT repeat with a different y

(3,4) (5,6) (7,8) is a function because every x has one y

In a function x does NOT repeat with a different y

(3,4) (3,6) (7,8) is NOT a function because 3 has two y's

In a function x does NOT repeat with a different y

The table is a function

Every x as one y​

In a function x does NOT repeat with a different y

The table is NOT a function

3 has multiple y values

Multiple Choice

Is this relation a function?

• Yes

• No

Multiple Choice

Is this relation a function? {(3,4), (6,8), (1,5), (3,-2)}

• Yes

• No

Multiple Choice

Is what is represented in this mapping diagram a function?

• Yes, this is a function.

• No, this is not a function.

Multiple Choice

Is this relation a function?

• Yes

• No

Multiple Select

Choose the relations that ARE functions.

Inputs

• Input of a function is the independent variable

• Also known as the domain or x values

Outputs

• Output of a function is the dependent variable. 

• Also known as the range or y-values

• You can also write y in function notation such as f(x)

Multiple Choice

Identify the independent and dependent variables

in the situation.

"A painter must measure a room before deciding how much paint to buy."

The amount of paint is the __________________.

• Dependent Variable

• Independent Variable

Multiple Choice

Identify the independent and dependent variables

in the situation.

"A painter must measure a room before deciding how much paint to buy."

The size of the room is the __________________.

• Dependent Variable

• Independent Variable

Multiple Choice

Identify the independent and dependent variables

in the situation.

"A veterinarian must weigh an animal before determining the amount of medication."

The weight of the animal is the __________________.

• Dependent Variable

• Independent Variable

Multiple Choice

Identify the independent and dependent variables

in the situation.

"A veterinarian must weigh an animal before determining the amount of medication."

The amount of medication is the __________________.

• Dependent Variable

• Independent Variable

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.

Multiple Choice

(1,5), (1,6), (1,7), (1,8), (1,9)

Is this relation a function?

• Function

• Not a function

Multiple Choice

Is this relation a function?

• Function

• Not a function

Multiple Choice

Is this graph a function or not a function? 

• Function 
• Not a Function 

Multiple Choice

You can identify a function from a graph by using the.....

• Horizontal Line Test
• Eye Test
• Vertical Line Test
• Diagonal Line Test

Multiple Choice

Which graph is not a function?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Multiple Choice

What is the definition of function?

• Has inputs and outputs
• Every input has only ONE output
• Inputs have different outputs every time
• x-values and y-values

Multiple Choice

All of the y values or outputs are called what?

• Domain
• Range
• Relation
• Function