Which of the following relations is a function?

{(0,2), (1,2), (2,2), (3,2)}
{(2,0), (2,1),(2,2), (2,3)}
{(3,5), (4,7), (5,9), (5,11)}
{(4,5), (6,7), (8,9), (8,11)}

Question

Which of the following relations is a function?

{(0,2), (1,2), (2,2), (3,2)}
{(2,0), (2,1),(2,2),  (2,3)}
{(3,5), (4,7), (5,9), (5,11)}
{(4,5), (6,7), (8,9), (8,11)}

jim_thompson5910 · Answer

If you plot each point separately (for each separate choice A-D), then use the vertical line test, you'll find that only {(0,2), (1,2), (2,2), (3,2)} is a function since it's the only relation that passes the test. 


So the answer is choice A.