Question

Identify the mapping diagram that represents the relation and determine whether the relation is a function. {(–8, –6), (–5, 2), (–8, 1), (7, 3)} Which of the following is true?

Answer 1

Do you have the answer options? Sorry, can't answer without them ):

Answer 2

Answer with explanation:

Ordered Pair = {(–8, –6), (–5, 2), (–8, 1), (7, 3)}

Preimage (x)                                 Image(y)

  -8                                                    -6

  -5                                                      2

   -8                                                     1

    7                                                       3

Element , -8 more than 1 image that is , -6 and 1.

→→So, if an element in a set that is in preimage, has more than one image then that relation is not a function.

So, the given relation is not a function.

⇒→Ordered Pair ={(–3, –6), (–1, –6), (5, –6), (8, –6)}

Preimage (x)                                 Image(y)

 -3                                                      -6

 -1                                                       -6

  5                                                        -6

 8                                                         -6

All the elements in preimage has same image that is , -6.No two same element in preimage has more than one image.

So, the given relation is a function.

So, the relation is a Function.