Question

Which of the following relations is a function?

A. (2,4), (-5, 6), (2, 3), (-6, 2)
B. (8, 1), (-5, 4), (2, 1), (8, 2)
C. (2,4), (-5, 2), (8, 1), (-6, 2)
D.
(2,0).(-5, 3), (8, 1), (-5,5)

Answer 1

For a set of data to be a function each x value has to have different y values.

A. (2,4), (-5, 6), (2, 3), (-6, 2)

B. (8, 1), (-5, 4), (2, 1), (8, 2)

D. (2,0).(-5, 3), (8, 1), (-5,5)

The bolded coordinates are the ones of each data set that makes it not a function. As you can see the x values all have different y values.

This leaves C. as the answer!

Hope this helped!

Answer 2

Answer: OPTION C

Explanation:

A relation is a function when each input value has one and only output value.

For option A:

(2,4), (-5, 6), (2, 3), (-6, 2)

You can observe that the input value "2" has two output values. Then it is not a function.

For option B:

(8, 1), (-5, 4), (2, 1), (8, 2)

You can observe that the input value "8" has two output values. Then it is not a function.

For option C:

(2,4), (-5, 2), (8, 1), (-6, 2)

You can observe that each input value has only one output values. Then it is a function.

For option D:

(2,0).(-5, 3), (8, 1), (-5,5)

You can observe that the input value -5 has two output values. Then it is not a function.