 Hi and welcome to the session, I am Asha and I am going to help you with the following question which says that A B has set having elements 9, 10, 11, 12 and 13 and let F be a function from A to N, we defined by F N is equal to the highest prime factor of N, find the range of F. So, first let us learn that if F is a function from A to B, the order where A B belongs to the function F, where A is an element of set A and B is an element of set B, then the set of all the second element of this ordered pair is called the range of F, that is range is equal to all the images of the first element. So, with the help of this idea, we are going to solve the above problem and find the range of F, so this is a clear idea and here we need to find the range of F. Now, according to the problem, we have the ordered pair my F N belongs to F, so the F N such that N belonging to A is equal to the range of the function F and since F N is equal to the highest prime factor of N, N belongs to the set A, therefore F 9 is equal to 3, since 3 is the highest prime factor of 9, F 10 will be equal to 5, since 5 with the highest prime factor of 10, F 11 will be 11 itself since 11 is the highest prime factor of 11, then F 12 is equal to 3 and F 13 is equal to 13, therefore range of F is all the images of elements of set A, which are 3, 5, 11, 3 and 13, thus we can say that range of the given function is 3, 5, 11 and 13. So, this completes the solution, hope you enjoyed it, take care and have a good day.