Question

Which set of ordered pairs can be plotted on the graph so that the graph continues to represent a function?



A.(-8, 2), (-7, 4), (-6, 6)
B.(0, -6), (1, 4), (2, -8)
C.(-1, -6), (0, -6), (1, -6)
D.(-9, 1), (-8, 2), (-7, 3)

Answer 1

To determine which set of ordered pairs can be plotted on a graph and still represent a function, we need to remember that a function is defined as a relation that assigns exactly one output (y-value) for each input (x-value). This means that no two ordered pairs can have the same x-value with different y-values.

Let's analyze each option:

A. (−8, 2), (−7, 4), (−6, 6)
- All x-values (-8, -7, -6) are unique.
- This set represents a function.

B. (0, -6), (1, 4), (2, -8)
- All x-values (0, 1, 2) are unique.
- This set represents a function.

C. (−1, -6), (0, -6), (1, -6)
- The x-values are unique (-1, 0, 1), but the y-value is the same (-6) for different x-values.
- This set represents a function as well.

D. (−9, 1), (−8, 2), (−7, 3)
- All x-values (-9, -8, -7) are unique.
- This set represents a function.

Since all the given sets of ordered pairs can be plotted on the graph while still representing a function, each option A, B, C, and D represents a function.

Therefore, all options are correct in the context of representing a function.