Question

Which statement describes how to determine if a relation given in a table is a function?



If none of the output values are repeated, the relation is a function.

If none of the input values are repeated, the relation is a function.

If any of the input values are equal to the output values, the relation is a function.

If all the output values are paired with the same input value, the relation is a function.

Answer 1

A relation is a function if its has a one-to-one relation between input and output or a many-to-one relation. If it is one to many then it is not a function.

for example
(x,y):-

(3,4), ( 3,8), (9,12) is not a function because 3 maps to 4 and also to 8 . Its one-to-many.
(1, 4) , (2 , 4) (6,3) is a function - it is many to one

(1,2), (3,4), (7,8) is a function as it is one-to-one

Answer 2

Can you see which of the options is correct.
which of the above relations has repeated input values?