Practice Test

Question 12 • CMS 2026-2027 NC Math 2 CREDIT RECOVERY

Which graph represents an inverse variation?

Answer

Image with description On a coordinate plane, a curve goes through the point negative 2 comma 4, the point negative 1 comma 2, and the point 0 comma 1 and approaches the x-axis.

Image with description On a coordinate plane, a curve starts close to the x-axis and goes through the point 0 comma 1, the point 1 comma 2, and the point 2 comma 4.

Image with description On a coordinate plane, a line passes through the point negative 1 comma negative 2, the point 0 comma 0, and the point 1 comma 2.

Image with description On a coordinate plane, a curve goes through the point negative 1 comma negative 3. It approaches the x-axis from the left of this point. It approaches the y-axis from the right of this point. Another curve goes through the point 1 comma 3. It approaches the y-axis from the left of this point. It approaches the x-axis from the right of this point.

Explanation

An inverse variation has the form y = k/x, so the product xy stays constant and the graph approaches both coordinate axes. In choice D, the points (-1, -3) and (1, 3) both have xy = 3, and the described branches approach the x- and y-axes. Therefore, choice D represents an inverse variation.

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