Question

which of the following does not represent a function? (1 point)

Explanation:

Step1: Recall vertical - line test

A relation is a function if any vertical line intersects its graph at most once.

Step2: Analyze first graph

The first graph is a V - shaped graph (absolute - value like). Any vertical line will intersect it at most once.

Step3: Analyze second graph

The second graph is a parabola opening downwards. Any vertical line will intersect it at most once.

Step4: Analyze third graph

The third graph is an ellipse. A vertical line can intersect an ellipse at two points. So, it does not pass the vertical - line test.

Step5: Analyze fourth graph

The fourth graph is a straight line. Any vertical line will intersect it at most once.

Answer:

The third graph (the ellipse) does not represent a function.