Functions with Graphs and Vertical Lines

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.

How do you use the vertical line test?

• Draw vertical lines through your graph. If any of the vertical lines you draw intersects the graph more than once then the graph is not the graph of a function.

• Draw vertical lines through your graph. If any of the vertical lines you draw intersects the graph more than once, then it is a function.

Does the table represent a function?

• Yes

• No

Which graph does NOT pass the vertical line test?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Does the graph represent a function?

• Yes, because the vertical line test shows there are no repeating input values

• No, because the vertical line test shows there are repeating input values

Which graph does NOT pass the vertical line test? (a)  

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Does the graph represent a function?

• Yes, because the vertical line test shows there are no repeating input values

• No, because the vertical line test shows there are repeating input values

Is the following graph a function?

​ (a)   because it ​ (b)   pass the vertical line test.

• Yes

• does

• No

• does not

Is the graph a function?  Explain.

• Yes, because if I draw a vertical line, it only crosses once.

• No because if I draw a vertical line, it crosses more than once

• Yes because it does not go into the negative numbers

• No because it's not a straight line

Match the following graphs as a "Function" or "Not a Function" using the VLT (Vertical Line Test)

• Function

• 
• Not A Function

• 
• Not A Function

• 
• Not A Function

• 
• Function

•