Question

Select Is a Function or is not a Function to correctly classify each relation.

Title
Is a Function
is not a Function
{(3, 7), (3, 6),(5, 4),(4, 7)}
{(1,5), (3, 5),(4, 6), (6,4)}
{(2, 3),(4, 2), (4, 6), (5,8)}
{(0,4), (3, 2),(4, 2), (6,5)}​

Answer 1

{(3, 7), (3, 6),(5, 4),(4, 7)} is not a function

{(1,5), (3, 5),(4, 6), (6,4)} is a function.

{(2, 3),(4, 2), (4, 6), (5,8)} is not a function.

{(0,4), (3, 2),(4, 2), (6,5)}​ is a function.

Explanation:

For something to be a function, the x-value cannot be repeated.

For {(3, 7), (3, 6),(5, 4),(4, 7)}, 3 was repeated twice. Therefore, is not a function.

For {(2, 3),(4, 2), (4, 6), (5,8)}, 4 was repeated twice. Therefore, isn't a function as well.

Answer 2

See explanation below.

Explanation:

Define each relation as a function or not a function:

{(3, 7), (3, 6),(5, 4),(4, 7)} - is not a function because there are two answers for the same input, which is 3. One time the output is 7 and another time the output is 6.

{(1,5), (3, 5),(4, 6), (6,4)} - is a function

{(2, 3),(4, 2), (4, 6), (5,8)} - is not a function because there are two answers for the same input, which is 4. One time the output is 2 and another time the output is 6.

{(0,4), (3, 2),(4, 2), (6,5)}​ - is a function

Any time that the same x input can generate different outputs, then the relation is not a function. There must be a unique output for every input.

Hope this helps! have an Awesome Day!! :-)