Consider the mapping f:{1,2,3,4,5,6}→{2,4,6,8,10,12} given by.Statement: Here  is a function:Question 5Select one:TrueFalse

To determine if the statement is true or false, we need to analyze the given mapping.

The mapping f:{1,2,3,4,5,6}→{2,4,6,8,10,12} means that each element in the domain set {1,2,3,4,5,6} is mapped to a corresponding element in the range set {2,4,6,8,10,12}.

Let's check if this mapping satisfies the properties of a function.

1. Each element in the domain set is mapped to exactly one element in the range set:

   • For each element in the domain set {1,2,3,4,5,6}, there is a unique corresponding element in the range set {2,4,6,8,10,12}.

2. No two elements in the domain set are mapped to the same element in the range set:

   • Since the mapping is defined such that each element in the domain set is mapped to a different element in the range set, there are no two elements in the domain set that are mapped to the same element in the range set.

Based on these observations, we can conclude that the given mapping f:{1,2,3,4,5,6}→{2,4,6,8,10,12} is indeed a function.

Therefore, the answer to the statement "Here is a function" is True.