Question

what does it mean if a graph passes the vertical line test? it is a linear function it is a function it is not a function

Explanation:

Step1: Understand the vertical line test

A vertical line test is used to determine if a graph represents a function.

Step2: Apply the test

If a vertical line can be drawn anywhere on the graph and it intersects the graph at most once, then for each input (x - value), there is exactly one output (y - value). This is the definition of a function.

Step3: Analyze the options

• "It is a linear function": A linear function is a specific type of function (in the form \(y = mx + b\)), but the vertical line test is for any function, not just linear ones.
• "It is a function": This is correct as per the vertical line test definition.
• "It is not a function": This is the opposite of what the vertical line test indicates when it is passed.

Answer:

It is a function