Determine whether the relation is a function. Explain. {(6,−1),(−4,2),(5,2),(4,6),(6,5)}6,-1,-4,2,5,2,4,6,6,5 Multiple choice question.A)Yes; for each element of the domain, there is only one element of the range.B)Yes; for each element of the range, there is only one element of the domain.C)No; the element 6 in the domain is paired with both –1 and 5 in the range.D)No; the elements 5 and 6 are in both the domain and the range.

Given the sets of ordered pairs, determine if they represent a relation or a function. If it is a function,specify the domain and range. (Criteria A)a) {(1,2),(2,3),(1,5),(4,6)}{(1,2),(2,3),(1,5),(4,6)}b) {(3,4),(2,7),(5,2),(3,1)}{(3,4),(2,7),(5,2),(3,1)}c) {(2,3),(5,6),(2,7),(8,1)}{(2,3),(5,6),(2,7),(8,1)}d) {(1,3),(2,5),(3,7),(4,9)}{(1,3),(2,5),(3,7),(4,9)}

Identify the domain and range of the relation, and determine whether the relation is a function.{(-7, -12), (-3, -5), (1, 16), (8, 18)}Select one:a. Domain: {-12, -5, 16, 18}; Range: {-7, -3, 1, 8}; Functionb. Domain: {-7, -3, 1, 8}; Range: {-12, -5, 16, 18}; Functionc. Domain: {-7, -3, 1, 8}; Range: {-12, -5, 16, 18}; Not a functiond. Domain: {-12, -5, 16, 18}; Range: {-7, -3, 1, 8}; Not a function

Determine which of the following relations represent y as a function of x. Find the domainand range of those relations which are functions.(a) {(−3, 9), (−2, 4), (−1, 1), (0, 0), (1, 1), (2, 4), (3, 9)}(b) {(−3, 0), (1, 6), (2, −3), (4, 2), (−5, 6), (4, −9), (6, 2)}(c) {(−3, 0), (−7, 6), (5, 5), (6, 4), (4, 9), (3, 0)}(d) {(1, 2), (4, 4), (9, 6), (16, 8), (25, 10), (36, 12), . . .}(e) {(x, y) : x is an odd integer, and y is an even integer}(f) {(x, 1) : x is an irrational number}(g) {(1, 0), (2, 1), (4, 2), (8, 3), (16, 4), (32, 5), . . . }(h) {. . . , (−3, 9), (−2, 4), (−1, 1), (0, 0), (1, 1), (2, 4), (3, 9), . . . }(i) {(−2, y) : −3 < y < 4}(j) {(x, 3) : −2 ≤ x < 4}

Consider the following relation:{(1, 3), (2, 4), (3, 6), (4, 8), (5, 10)}The above relation is a function with a domain and codomain specified as follows:Domain: {1, 2, 3, 4, 5} Codomain: {3, 4, 5, 6, 7, 8, 9, 10}.Question 12Select one:TrueFalse

For each of the following relations defined on sets M = {5, 6, 7, 8} and N = {1, 3, 5, 7, 9},list the elements and find its domain and range.(a) S1 = {(m, n)|m + n is even}(b) S2 = {(m, n)|n = 2m − 9}(c) S3 = {(m, n)|m < n}(d) S4 = {(m, n)||m − n| ≤ 2}(e) S5 = {(m, n)|m is divisible by n}(f) S6 = {(m, n)|m + n is a prime number