MathAlgebra

ALEKS Vertical Line Test Answer: Does Graph 2 Represent a Function?

Graph 2 is not a function: the vertical line x = 0 crosses the diamond at two points, giving one input two outputs.

Question

Six graphs are shown below. Graph 2 is a diamond centered at the origin, with vertices at approximately $(0,2)$, $(2,0)$, $(0,-2)$, and $(-2,0)$.Does Graph 2 represent a function? Use the vertical line test and explain your answer.

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Evidence boundary

This answer covers only Graph 2, the diamond that is fully visible in the cited prompt. The four vertex coordinates are read from the displayed coordinate grid and are approximate, but the conclusion does not depend on their exact scale: a vertical line through the diamond intersects it twice. The other five tabbed graphs are not visible in the source and are not answered here.