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)

Ver imagen apocritia
ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE

Otras preguntas