In exercises 9 and 10, describe and correct the error related to the function represented by the table.

Question

Input, X : 1,2,3,4,5

Output, Y : 6,7,8,6,9

 

9.) The pairing is not a function. One output is paired with two outputs. 

 

10.) The pairing is a function. The range is 1,2,3,4,5. 

Answer 1

Write the table this way:

 

   input x       output y

       1                6

       2                7

       3                8

       4                6

       5                9

 

Now, notice that input values of both 1 and 4 produce a value of 6 as output.

 

A function must have only one output value for a given input value, therefore:

    9.) The pairing is not a function. One output is paired with two outputs. 

Answer 2

To be a function, each input value 'x' can have one, and only one,

output value 'y'

 

9)  The pairing is a function.  Each input is paired with one output.

 

The range is the possible output values f(x)

 

10) The pairing is a function.  The range is 6,7,8,9