Question

A function is a relation in which each element in the input is mapped to how many elements in the output? exactly one one or more one or two exactly two

Answer 1

A function is a relation in which one input has ONLY one output.

Example: {(1,3 , 2,4 , 5,7 , 9,4)} Each input (x) has only one output (y)

Explanation:

Answer 2

A function is a relation in which each element in the input is mapped to exactly one elements in the output.

Explanation:

Function--

A function is a relation i.e. the set of the ordered pair of the type: (x,y) such that each element of the first set i.e. the input is mapped to a unique element of the other set.

i.e. each element has a single image.

for example--

The relation:

{ (1,2) , (2,5) , (3,8) , (1,4) , (4,8) }

is not a function, because the element " 1 " has two images

1 is mapped to 2 i.e. the ordered pair (1,2)

and 1 is also mapped to 4 i.e. the ordered pair (1,4) .