Question

the vertical line test shows whether a graph represents a function.

• a graph represents a function if any vertical line intersects the graph at only one point.
• a graph does not represent a function if any vertical line intersects the graph at two or more points.

function
this is a graph of a function.
relation
this is the graph of a relation that is not a function.
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in 10 words or fewer, is a circle ever a function? why or why not?
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Explanation:

A circle fails the vertical line test, as a vertical line can intersect it at two points, meaning one x-value maps to two y-values, which violates the definition of a function.

Answer:

No; fails vertical line test.