Question

Which set(s) of coordinates represent(s) a function?

Select ALL that apply.
a {(-10, 4), (4,8), (-3, -8). (-1, 10)}
b {(-6, 3), (8, -1), (-1,-4), (8, 10)}
c {(4, 1), (3,9),(4, 6), (1, -3)}
d {(10.0), (-2,-6), (3, 2), (3.6)}
e {(-3, 2), (2, -3), (5, 7).(-7,5)}

Answer 1

Sets a, d, and e represent functions because they all have unique x-values and pass the vertical line test. Sets b and c do not represent functions because they have repeated x-values with different y-values.

Step-by-step explanation:

To determine which set(s) of coordinates represent(s) a function, we need to apply the vertical line test. A set of coordinates represents a function if, for every x-value, there is only one y-value associated with it. This means no vertical line can intersect the graph of the relationship at more than one point.

• Set a: {(-10, 4), (4,8), (-3, -8), (-1, 10)} - This is a function because all x-values are unique.
• Set b: {(-6, 3), (8, -1), (-1,-4), (8, 10)} - This is not a function because the x-value 8 is associated with two different y-values (-1 and 10).
• Set c: {(4, 1), (3,9), (4, 6), (1, -3)} - This is not a function because the x-value 4 is associated with two different y-values (1 and 6).
• Set d: {(10,0), (-2,-6), (3, 2), (3.6)} - This is a function since all x-values are unique.
• Set e: {(-3, 2), (2, -3), (5, 7), (-7,5)} - This is a function because all x-values are unique.

The correct answers that ALL that apply are sets a, d, and e.