Question

Which set of ordered pairs does not represent a function?

a
O{(-6, -9), (-2, -3), (–9,2), (2, -3)}
O {(-2,0), (-5,8), (7,9), (6,8)}
O {(6,9), (-7,8), (1, –4), (8,8)}
O{(-2, -6), (-1,2), (-2, – 7), (6,6)}
Submit Answer

Answer 1

the last one {(-2, -6), (-1,2), (-2, – 7), (6,6)}

Explanation:

it has 2 of the same x values with 2 different y coordinates, in other words it fails the vertical line test.

Answer 2

Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}

Explanation:

Definitions:

• A function is a relation for which no two ordered pairs have the same first component (or x-values) and different second component (y-values).

• The set of first components is the input, also referred as the domain.

• The set of second components is the output, also referred as the range.

In order to determine whether a given relation is a function, one must always take notice of the x-values ⇒ make sure that an x-value does not have more than one corresponding y-value.

Solution:

Option 1: {(-6, -9), (-2, -3), (–9,2), (2, -3)} ⇒ This relation is a function. Each input has one corresponding output.

Option 2: {(-2,0), (-5,8), (7,9), (6,8)} ⇒ This relation is also a function. Each input has one corresponding output.

Option 3: {(6,9), (-7,8), (1, –4), (8,8)} ⇒ This relation is also a function. Each input has one corresponding output.

Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)} ⇒ This relation is not a function. The x-value, x = -2, has two corresponding y-values: y = -6, and y = -7.

Therefore, the correct answer is Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}.