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Which of the following best describes the given set of ordered pairs: {(-2,8), (-1,3), (0,0), (1,-1), (2,0)}?

a) A function
b) Not a function
c) A linear function
d) A quadratic function

1 Answer

5 votes

Final answer:

The set of ordered pairs represents a function since each x-value is unique to one y-value, but it doesn't form a straight line or a parabola, so it's not specifically linear or quadratic.

Step-by-step explanation:

The set of ordered pairs given, {(-2,8), (-1,3), (0,0), (1,-1), (2,0)}, represents a function because each x-value is paired with exactly one y-value. However, when we look at the shape of these points when plotted, they do not form a line, suggesting it is not a linear function. Analyzing the pattern and shape further, it does not form a parabola, which is characteristic of quadratic functions. Therefore, without a consistent linear or quadratic pattern, while it is indeed a function, we cannot conclusively specify without more context or information if it falls into any specific category of function like linear or quadratic. Therefore, the best answer would be (a) A function.

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