Functions — Test

Question 21 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

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

Answer

Image with description A coordinate plane with 5 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 3 comma 2, negative 3 comma 3, 0 comma 1, 1 comma 3, and 2 comma negative 4.

Image with description A coordinate plane with 6 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 2 comma 3, negative 1 comma 2, 1 comma 1, 2 comma 0, 3 comma negative 3, and 4 comma negative 5.

Image with description A coordinate plane with 5 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 5 comma 3, negative 3 comma 1, negative 1 comma negative 2, 0 comma negative 2, and 0 comma negative 5.

Image with description A coordinate plane with 6 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 2 comma 3, negative 2 comma 2, 0 comma 1, 1 comma 1, 4 comma 4, and 1 comma negative 4.

Explanation

A set of ordered pairs represents a function when each x-value is paired with only one y-value. In choice C, the x-values −2, −1, 1, 2, 3, and 4 are all different, so every input has exactly one output. The other choices each include an x-value paired with two different y-values.

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