Functions

Live Lesson: Functions

By Ms. Rush

Poll

How do you feel about this lesson Identifying Functions?

• 5: I get it completely. I feel like an expert!

• 4: I get it. I am feeling good.

• 3: I feel so-so. I am starting to get it.

• 2: I feel confused. I need to study might notes more.

• 1: I feel confused & frustrated. I need help!

What do you remember?

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*You can take out your notes at

any time.​

Multiple Choice

There are how many ways to represent a function?

• 1

• 2

• 3

• 4

Multiple Choice

This is an example of a ...

• Ordered Pairs

• Mapping Diagram

• Table

• Graph

Multiple Choice

This is an example of a ...

• Ordered Pairs

• Mapping Diagram

• Table

• Graph

Multiple Choice

This is an example of a ...

• Graph

• Ordered Pairs

• Table

• Mapping Diagram

Multiple Choice

This is an example of ...

{(0,1), (1,-3), (2,-4), (-4,1)}

• Table

• Ordered Pairs

• Graph

• Mapping Diagram

Multiple Choice

What is the definition of function?

• Has inputs and outputs

• Each input has exactly one output

• Inputs have different outputs every time

• x-values and y-values

Functions In Ordered Pairs

• For each input there is exactly one output

• Looking at "x" all should be different

• If the x's are different it is a function

• If the x's are the same it is not a function

Multiple Choice

Ordered Pairs are written ..

• (a, b)

• (y, x)

• (x, y)

• (b, a)

Multiple Choice

When looking at an ordered pair, only look at the ...

• Second Value

• First Value

• Function

• Output

Multiple Choice

Is the relation a function?

• yes, it is a function

• no, it is not a function

• not enough information to determine

Multiple Choice

• Function

• Not a Function

Multiple Choice

• Function

• Not a Function

Multiple Choice

Which set of values is a function?

• (9, 5) (10, 5) (9, -5) (10, -5)

• (3, 4) (4, -3) (7, 4) (3, 8)

• (6,-5) (7, -3) (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

Functions In Tables

How can you tell if a table is a function?

• Every input has only ONE output

• All x's are unique

• x's do not repeat

Multiple Choice

When looking at a table, only look at the ...

• Second Value

• Input Value

• Table

• Output Value

Multiple Choice

Is this table a function or not a function? 

• Function

• Not a Function

Multiple Choice

Is this table a function or not a function? 

• Function

• Not a Function 

Multiple Choice

• Function

• Not a Function

Multiple Choice

• Function

• Not a Function

Functions In Mapping Diagrams

How can you tell if mapping is a function?

• Every input goes to EXACTLY ONE output

• x values do not repeat

• All x values are different

Functions In Mapping Diagrams

• For each input there is exactly one output

• If the x's EACH have ONE LINE

• If the x's have 2 or more lines it is not a function

Multiple Choice

When looking at a mapping diagram, only look at the ...

• the arrows leaving the input

• the arrows leaving the output

• the numbers in the input

• the numbers in the output

Multiple Choice

Is this mapping a function or not a function? 

• Function

• Not a Function 

Multiple Choice

Is this mapping a function or not a function? 

• Function

• Not a Function

Multiple Choice

Is this mapping a function or not a function? 

• Function

• Not a Function 

Multiple Choice

Is this relation a function?

• Yes it is a function

• No it is not a function

Functions In Graph

• Must past the VERTICAL LINE TEST

• IF YOU DRAW A VERTICAL LINE ANYWHERE ON THE GRAPH, IT WILL TOUCH THE LINE IN ONLY ONE POINT

Functions In Graph

• Must past the VERTICAL LINE TEST

• IF YOU DRAW A VERTICAL LINE ANYWHERE ON THE GRAPH, IT WILL TOUCH THE LINE IN ONLY ONE POINT

Functions In Graph

• Must past the VERTICAL LINE TEST

• IF YOU DRAW A VERTICAL LINE ANYWHERE ON THE GRAPH, IT WILL TOUCH THE LINE IN ONLY ONE POINT

Multiple Choice

Is this graph a function or not a function? 

• Function

• Not a Function

Multiple Choice

Is this graph a function or not a function? 

• Function 

• Not a Function 

Multiple Choice

Is the relation a function?

• yes, it is a function

• no, it is not a function

• not enough information to determine

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

Is this graph a function or not a function?

• Function

• Not a Function

Multiple Choice

Is this graph a function or not a function?

• Function

• Not a Function