Question

Given A = {(1, 3)(-1, 5}(6, 4)}, B = {(2, 0)(4, 6)(-4, 5)(0, 0)} and C = {(1, 1)(0, 2)(0, 3)(0, 4)(-3, 5)}, answer the following multiple choice question:

From the list of sets A, B, and C above, choose the set of relations that correctly represents a function

Answer 1

The answer is A bc it is the one one that works.

Answer 2

Sets A and B correctly represents a function

Explanation:

Sets can be rewritten as follows

A)

x | y

-----

-1 | 5

1 | 3

6 | 4

B)

x | y

-----

-4 | 5

0 | 0

2 | 0

4 | 6

C)

x | y

-----

-3 | 5

0 | 2

0 | 3

0 | 4

1 | 1

Every function relates inputs (x-values) with outputs (y-values). But every x-value has to have one and only one correspondent y-value. In set C there are 3 y-values associated with x = 0; so, it isn't a function. There is no problem with sets A and B