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Question 8 • Algebra I

Which graph shows a set of ordered pairs that represents a function?

Answer

Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled y. The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. The graph consists of 6 plotted points located at negative 4 comma 2, negative 1 comma 4, 1 comma 0, 2 comma 3, 2 comma negative 3, and 3 comma 1.

Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled y. The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. The graph consists of 6 plotted points located at negative 5 comma 2, negative 4 comma negative 4, negative 3 comma 4, negative 2 comma 2, 2 comma negative 2, and 4 comma 3.

Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled y. The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. The graph consists of 6 plotted points located at negative 5 comma 4, negative 3 comma 2, negative 1 comma 3, 1 comma 1, 1 comma negative 2, and 3 comma negative 3.

Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled y. The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. The graph consists of 6 plotted points located at negative 4 comma 2, negative 3 comma 4, negative 3 comma negative 4, negative 2 comma 1, 2 comma negative 3, and 3 comma negative 1.

Explanation

A set of ordered pairs represents a function if each x-value is paired with only one y-value. In choice B, all six x-values (−5, −4, −3, −2, 2, and 4) are different, so it represents a function. The other choices each repeat an x-value with different y-values.

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