Which graph represents a set of…

Maths Questions

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

Answer

The correct answer is the first graph. To determine if a set of ordered pairs represents a function, each x-value must correspond to exactly one y-value. This can be visually confirmed through the vertical line test: if a vertical line intersects the graph at only one point for any given x-value, it implies that the set of ordered pairs defines a function. In the first graph, each x-value has a unique y-value, confirming that it represents a function. Conversely, in the second graph, the x-value of -2 corresponds to two y-values, -1 and 1, indicating that this set of ordered pairs does not define a function.

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