Which set of ordered pairs is a function fromA = {a, b, c, d} to B = {1, 2, 3, 4, 5, 6}? R4 = {(a, 2), (b, 2), (c, 6), (d, 2), (c, 5)} R3 = {(a, 3), (b, 2), (a, 4),(c, 5), (d, 4)} R1 = {(a, 3), (b, 3), (c, 4), (d, 1)} R2 = {(a, 1), (a, 4), (b, 1), (c, 5), (d, 4)}
Question
Which set of ordered pairs is a function fromA = {a, b, c, d} to B = {1, 2, 3, 4, 5, 6}? R4 = {(a, 2), (b, 2), (c, 6), (d, 2), (c, 5)} R3 = {(a, 3), (b, 2), (a, 4),(c, 5), (d, 4)} R1 = {(a, 3), (b, 3), (c, 4), (d, 1)} R2 = {(a, 1), (a, 4), (b, 1), (c, 5), (d, 4)}
Solution
In order for a set of ordered pairs to be a function, each input (in this case, each element from set A) must be paired with exactly one output (an element from set B).
Let's check each set:
R4 = {(a, 2), (b, 2), (c, 6), (d, 2), (c, 5)}: This is not a function because 'c' is paired with both 6 and 5.
R3 = {(a, 3), (b, 2), (a, 4),(c, 5), (d, 4)}: This is not a function because 'a' is paired with both 3 and 4.
R1 = {(a, 3), (b, 3), (c, 4), (d, 1)}: This is a function because each element from set A is paired with exactly one element from set B.
R2 = {(a, 1), (a, 4), (b, 1), (c, 5), (d, 4)}: This is not a function because 'a' is paired with both 1 and 4.
So, the set of ordered pairs R1 is a function from A to B.
Similar Questions
Which of the following sets of ordered pairs represents a function?{(-1,4),(1,4),(2,4),(-2,4)}{(-2,1),(-1,3),(2,1),(-2,2)}{(2,2),(3,3),(4,4),(2,1)}{(-1,3),(-1,4),(-1,5),(-1,6)}
Which set of ordered pairs does not represent a function? A (4, 1), (6, 2), (7, 5), (9, 2) B (0, 5), (1, 7), (2, 9), (3, 11) C (−2, 5), (0, 2), (9, −6), (8, 7) D (5, 5), (6, 10), (10, 15), (5, 20)
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)}
Which of the following relations are functions?R1 ={(3, 4),(4, 5),(6, 7),(8, 9)}, R2 ={(3, 4),(4, 5),(6, 7),(3, 9)}, R3 ={(-3, 4),(4, -5),(0, 0),(8, 9)}, R4 ={(8, 11),(34, 5),(6, 17),(8, 19)}
Provide the missing information.Given the function f : = {(1, 2), (2, 3), (3, 4)} write the set of ordered pairs representing f -1 (please use the same format in your answer including commas between ordered pairs)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.