Graphing and Mapping Functions

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

How do you determine if a graph is a function?

• look at the y-values, if they repeat, it's not a function

• Use the "vertical line" test aka "pencil test"

• Look at you x-values, if they repeat it is a function

• Use the horizontal line test

How can you determine if a table or ordered pairs represents a function?

• for every y-value there is only one x-value

• for every x-value there is only one y-value

• vertical line test

• for every x-value there is more than one y-value

Tags

CCSS.8.F.A.1

Which set of values is one-to-one?

• (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)

Is this mapping a function or not a function? 

• Function: one-to-one

• Function: many-to-one

• Not a Function: one-to-many

• Not a function: many- to -many

Tags

CCSS.8.F.A.1

What type of mapping is shown on the graph?

• One-to-one

• Many-to-one

• One-to-many

• Many-to-many

Is this table a function or not a function? 

• Function
• Not a Function

Tags

CCSS.8.F.A.1

Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5) 

• (3, 7)
• (4, 1) 
• (1, 9)
• (2, 6)

Tags

CCSS.8.F.A.1

What type of mapping is shown in the diagram?

• One-to-one

• Many-to-one

• One-to-many

• Many-to-many

Is the mapping shown in the diagram a function or not?

• Yes: one-to-one

• Yes: many-to-one

• No: one-to-many

• No: many-to-many

Tags

CCSS.8.F.A.1