 Hello and welcome to the session. In this session we will discuss a question which says that identify which of the following is the function. And here you have to see these two diagrams and also you have to identify that which of the following graphs is the function. Now before starting the solution of this question we should know some results. First is in a function members of domain do not repeat. So for every value of x there is only one corresponding value of y that is y values can be repeated but x values cannot be repeated and also we can check this by performing a vertical line test. Here if a vertical line intersects the graph at one point only then it is a function. The graph in one point then it is not a function. Now these results will work out as a key idea for solving out the given question. Now let us start with the solution of the given question. Now in the first part we are given a mapping. Question can be written as the set containing the ordered pairs minus 3 minus 3 minus. Now we know that in a function for every value of y that is 2 and minus is repeated. This relation is not a function. Here domain is the set containing the elements minus 2 minus 3 5 and 7 the ordered pairs. Next ordered pair is 3 last ordered pair is 1. Now here 3 corresponds to minus 3 to 7 is a function. All we can say here no x value is repeated. Now in the third part we are given a graph. Now here we get the points 0 minus 1 on the graph x value that is 0. It is not a function. Now to see if it is a function we use vertical line test. New idea we know that if a vertical line intersects it is a function. And if it intersects the graph at more than one point then it is not. So here let us draw a vertical line. Now here we have drawn a vertical line and we see that this line intersects the given curve of the session. Hope you all have enjoyed the session.