Question

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which graph does not show a function?

Explanation:

Step1: Recall vertical line test rule

A graph represents a function if any vertical line drawn intersects the graph at most once.

Step2: Test top-left graph

Any vertical line intersects this V-shaped graph only once. It is a function.

Step3: Test top-right graph

Any vertical line intersects this straight line only once. It is a function.

Step4: Test bottom-left graph

Any vertical line intersects this parabola only once. It is a function.

Step5: Test bottom-right graph

Draw a vertical line through the x-values covered by the horizontal segments. This line intersects multiple segments (multiple y-values for one x-value). It fails the test.

Answer:

The bottom-right graph (the one with horizontal segments) does not show a function.