Functions and graphs

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

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)

Is this mapping a function or not a function? 

• Function
• Not a Function

Is this graph a function or not a function? 

• Function 
• Not a Function

Is this table a function or not a function? 

• Function
• Not a Function

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)

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.

Which ordered pair is a solution of
the equation
y = 6x?

• (12, 2)
• (4, 18)
• (3, 18)
• (6, 1)

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)