Let’s consider the mapping  given by f:{1,2,3,4,5,}→{2,4,5,8,10} given by.Statement: Here  is a function:Question 1Select one:TrueFalse

The statement says that there is a function given by f:{1,2,3,4,5}→{2,4,5,8,10}.

To determine if this statement is true or false, we need to check if the mapping satisfies the properties of a function.

1. Each element in the domain must be mapped to exactly one element in the codomain.
2. There should be no element in the domain that is left unmapped.

Let's check if these properties hold for the given mapping:

1. For each element in the domain {1,2,3,4,5}, we can see that:

   • 1 is mapped to 2
   • 2 is mapped to 4
   • 3 is mapped to 5
   • 4 is mapped to 8
   • 5 is mapped to 10

   Each element in the domain is indeed mapped to exactly one element in the codomain.

2. There are no elements in the domain {1,2,3,4,5} that are left unmapped.

Based on these observations, we can conclude that the statement is true.