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

Does this graph represent a function?

If yes, give its domain.

If no, tell why not.

• Yes - Function

  Domain: All real numbers

• Yes - Function

  Domain: All real positive numbers

• No - Not a function

  Fails VLT

• No - Not a function

  Has no negative values

Is this mapping a function or not a function? 

• Function
• Not a Function

Is this mapping a function or not a function? 

• Function
• Not a Function 

Is this table a function or not a function? 

• Function
• Not a Function

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)

Does this function represent a function?

If so, give the range.

If not, explain why not.

• Yes - Function

  Range: -5 < y < 2

• Yes - Function

  Range: -3 < y < 3

• No - Not a function

  Fails VLT

• No - Not a function

  Passes VLT

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}

  R: {0, 1, 2, -4}

• D:{0, 1, 2, -4}

  R:{1, -3, -4}

• D:{0, 1, 2, 3, 4}

  R:{1, -3, -4}

• D: All real numbers

  R: All real numbers

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)

Does the table represent a function?

• Yes, there  is a repeated x-value. 
• No, there aren't any repeated y-values. 
• Yes, there are repeated y-values. 
• No, there is a repeated x-value.