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

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.

• Function; it passes the vertical line test

• Not a Function; it fails the vertical line test

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.

Is this mapping a function or not a function?

• Function; the x's don't repeat

• Not a Function; the x's repeat

Is this table a function or not a function?

• Function; the x's don't repeat

• Not a Function; the x's repeat

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 graph a function or not a function? 

• Function
• Not a Function

Is this graph a function or not a function?

• Function; it passes the vertical line test

• Not a Function; it fails the vertical line test

Which of the following is NOT a function?

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