Question

which graph does not show a function?

Explanation:

Step1: Recall vertical line test rule

A graph represents a function if no vertical line intersects it more than once.

Step2: Test top-left graph

All vertical lines intersect at most once. It is a function.

Step3: Test top-right graph

All vertical lines intersect at most once. It is a function.

Step4: Test bottom-left graph

All vertical lines intersect at most once. It is a function.

Step5: Test bottom-right graph

Any vertical line overlaps with the horizontal line, intersecting infinitely many times. It fails the test.

Answer:

The bottom-right graph (the horizontal line spanning the x-axis) does not show a function.