To determine which of the options represents a function, we need to remember the definition of a function: A function is a relation in which each input (or x-value) corresponds to exactly one output (or y-value).
Let's analyze each option:
A. A graph that plots the points (-3, -2), (-1, 1), (-1, -5), and (1, 4).
- Here, the x-value -1 corresponds to two different y-values (1 and -5). Therefore, this does not represent a function.
B. {(0,1), (3,2), (-8,3), (-7,2), (3,4)}
- In this set, the x-value 3 corresponds to two different y-values (2 and 4). Hence, this is not a function.
C.
x: -5 -1 9 8 -1
y: 1 7 23 17 1
- The x-value -1 corresponds to two different y-values (7 and 1). Therefore, this is not a function.
D. A set of values as described:
- A value of -4 corresponds to 5, 9 corresponds to 7, 13 corresponds to 3, and -7 corresponds to 5.
- Each x-value corresponds to exactly one y-value. Therefore, this represents a function.
Based on the analysis, the answer is:
D.