Question

1. -/1 points why does the vertical line test tell us whether the graph of a relation represents a function? when a vertical line intersects the graph of a function more than once, it indicates that for that input there is more than one output, which means the function is not a relation. when a vertical line intersects the graph of a function more than once, it indicates that for that output there is more than one input, which means the function is not a relation. when a vertical line intersects the graph of a relation more than once, it indicates that for that output there is more than one input, which means the relation is not a function. when a vertical line intersects the graph of a relation more than once, it indicates that for that input there is more than one output, which means the relation is not a function.

Explanation:

A function is defined such that for each input (x - value), there is exactly one output (y - value). In the vertical - line test, a vertical line represents a single input value. If a vertical line intersects the graph of a relation more than once, it means that for that single input value, there are multiple output values. This violates the definition of a function.

Answer:

When a vertical line intersects the graph of a relation more than once, it indicates that for that input there is more than one output, which means the relation is not a function.