Respuesta :

Answer:

Functions - 3 and 6

Not Functions - 1, 2, 4 and 5,

Step-by-step explanation:

Let us number the graphs as,          1           2          3

                                                            4           5          6

Now, 'A function is a relation in which every element of the domain have a unique image in the co-domain'.

Graphically, to check whether the relation is a function, we use 'Vertical Line Test'.

It states that, 'If a vertical line passing through the graph cuts the graph at exactly one point, then the relation is a function'.

So, according to the options, we get,

In graphs 1, 2, 4 and 5, if we plot a vertical line passing through the graph, it cuts at more than one points.

That is, there are different image for the same element.

Thus, we have,

Functions - 3 and 6

Not Functions - 1, 2, 4 and 5,

apocritia

Answer:

Graph number 3, 4 and 6.

Step-by-step explanation:

First , lets numbering the graph (as given figure) as,  1,     2,      3,

                                                                                        4,     5,      6.

We know that a function is a special type of relation in which every element of the the domain have a unique image in the co-domain . If we check all given graph with the help of vertical line test , then we get the given graph is a function or not.

In vertical line test - if a vertical line (vertical line drown at each point of domain ) passing through the graph cut the graph at exactly one point, then the relation is a function.

Now we test and observe the graph with the help of vertical line test, we gate the graph number  3, 4 and 6 are the function because a vertical line passing through the graph , it cuts at only one point (it valid for all point of domain ), and the graph number 1, 2 and 5 are not a function because a vertical  line passing through the graph, it cuts at more than one point (it valid for at list one point of domain)

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