A relation is a set of ordered pairs (a.b) where a is a member of A and b is a m

Question

A relation is a set of ordered pairs (a.b) where a is a member of A and b is a member of B. Given: A-Lorinda, Emma, Jolene) and B Ired, green, blue, pinkh Let G [(Lorinda, blue), (Emma, blue), (Jolene, green), (Jolene, pink)). This set G can be considered a relation formed by asking each person to choose her favorite color from the set B. Is G a function? Explain your answer on the back of this sheet. 6. 7. Explain how to trace this graph without lifting your pencil from the paper and not tracing a path more than once.

Explanation / Answer

Solution:
A relation f  from a set A to another set B is said to be a function from  A to B for each element of A is related to exactly one element of B.

Here, every member except Jolene of A is related to exactly one colour of B. But Jolene is related to two colors in B namely green and pink. Therefore this relation is not a function.

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