Question

Which of the following relations is a function?

Answer 1

A. {(2, 2), (3, 3), (4, 4), (5, 5)} B. {(2, 1), (2, 3), (3, 6), (3, 7)} C. {(3, 5), (4, 9), (4, 11), (5, 14)} D. {(4, 8), (6, 6), (8, 4), (8, 2)} answers

Answer 2

Okay. a relation is a function too, when the ordered pairs (x,y) defining it, do not have the same value of 'y' for more than one x. that means, for a particular 'x', only one 'y' can exist.

So, one of the options above satisfies this, others do not. Which one does?

Answer 3

Do a straight line test.

Answer 4

d

Answer 5

@Retract - the function may not necessarily represent a straight line.

How can it be D @saheiiiim ? There is a (8,4) as well as a (8,2). So two 'y' values for the same 'x'. Hence this is NOT a function. Try again! :)

Answer 6

@apoorvk I didn't say it would. That's not what a straight line test is. You graph each point, join them up, then draw straight lines down the vertical axis. If it intersects more than once, it's a relation. If it intersects only once, it's a function.

Answer 7

Sorry, I meant vertical line test. That makes more sense. I'm a little drunk, don't mind me.

Answer 8

Oh sorry, my bad @Retract - shouldn't have assumed :/ Thanks for that bit though.

Answer 9

@apoorvk No, it was all my fault. I didn't state the right terminology, aha.

Answer 10

Haha lol!

nada, both guilty. :P