Question

Does this table represent a function ? Why or why not?

Answer 1

Answer:

Option: C is the correct answer.

No, because one x-value corresponds to two y-different values.

Step-by-step explanation:

Function--

A mapping from a set A to set B is said to be a function if each element of set A is mapped to a single element of set B.

i.e. no element of A has more than one image.

i.e. the set of ordered pair (x,y) represent a function if every x-corresponds to just one y-value.

                    The table of values is given by:

                 x                y

                 2                1

                 3                4

                 4                 4

                 5                 2

                 5                 5                

This table does not represent a function because the element 5 has 2 images.

i.e. the ordered pair (5,2) and (5,5) represents that 5 is mapped to 2 and 5 is mapped to 5 as well.

 

Answer 2

C. is the correct answer. In order for it to be a function, One x cannot have two different y values