Question

Which set of ordered pairs represents a function?

A) {(-8,1),(5,–7),(-6,9),(-6, -9)}
B) {(-2,-3), (2, 1), (2,6), (4,9)}
C) {(-8,4), (6,4), (9,1),(7,-6)}
D) {(-4,5), (0,0), (2,–8), (2,0)}

Answer 1

Set C) {(-8,4), (6,4), (9,1),(7,-6)} represents a function as each input value is paired with exactly one output value.

Step-by-step explanation:

A set of ordered pairs represents a function if each input value is paired with exactly one output value. Let's analyze each set of ordered pairs:

A) {(-8,1),(5,–7),(-6,9),(-6, -9)}: This set is not a function because the input value -6 is paired with two different output values, 9 and -9.

B) {(-2,-3), (2, 1), (2,6), (4,9)}: This set is not a function because the input value 2 is paired with two different output values, 1 and 6.

C) {(-8,4), (6,4), (9,1),(7,-6)}: This set is a function because each input value is paired with exactly one output value.

D) {(-4,5), (0,0), (2,–8), (2,0)}: This set is not a function because the input value 2 is paired with two different output values, -8 and 0.

Therefore, the set of ordered pairs that represents a function is C) {(-8,4), (6,4), (9,1),(7,-6)}.