Answer:
Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}
Step-by-step 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)}.
