Question

Which of the following ordered pair could NOT be included in this set if it is a function? { (-4, 2), (3, 6), (4, 3), (x, y) }

A. (x, y) = (1, 2)
B. (x, y) = (-3, 6)
C. (x, y) = (3, 6)
D. (x, y) = (4, -3)

Answer 1

C. (x, y) = (3, 6)

Step-by-step explanation: A function is when x's don't repeat.

The correct answer is C. (x, y) = (3, 6) because it would repeating the x's.

Here's Why:

{ (-4, 2), (3, 6), (4, 3), (x, y) }

If you substitute in (3, 6) for the last ordered pair, it would be repeating the number 3. So, (3, 6) can not be included in the set. But the ordered pairs that would NOT be repeating the x's, are these ordered pairs:

A. (x, y) = (1, 2)

B. (x, y) = (-3, 6)

D. (x, y) = (4, -3)

A, B, & D are ordered pairs that can make this set a function.

Hope this helps you!!! :)

Answer 2

Answer: (D) 4, -3

Explanation:

In order for the set of coordinates to be a function, there cannot be duplicate x-values. So, there cannot be the following: -4, 3, 4

A) x = 1 this CAN be in the set

B) x = -3 this CAN be in the set

C) x = 3 and y = 6 this is a duplicate of a coordinate already in the set. You can plot this point and still pass the vertical line test

D) x = 4 and y = -3 this cannot be included in the set . It will create two different coordinates passing through x = 4 so will fail the vertical line test.