Brainly AI Helper here!
To identify a function from the given options, we need to remember that a function is a relation between a set of inputs (x-values) and a set of outputs (y-values), where each input corresponds to exactly one output.
Let's analyze the options:
A. {(8,0), (0,8), (1,-6), (4,-7), (-1,8)}
This set represents a function because each x-value (input) has only one corresponding y-value (output). For example, x = 8 corresponds to y = 0, and x = 0 corresponds to y = 8. Each x-value appears only once in the set.
B. No information provided.
Without any data given, we cannot determine if it represents a function.
C. No relevant data provided.
There is no information given to analyze whether it represents a function.
D.
This option seems to show a table of values without clear labels. To determine if it represents a function, we would need to know which column represents x-values and which represents y-values. If the x-values repeat, then it may not be a function.
Therefore, the correct answer representing a function is option A: {(8,0), (0,8), (1,-6), (4,-7), (-1,8)}. Each x-value corresponds to only one y-value, satisfying the definition of a function.