Vertical Line Test

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.

Front

What does it mean for a graph to be a function?

Back

A graph is considered a function if for every input (x-value), there is exactly one output (y-value).

Front

How can you visually determine if a graph is a function?

Back

You can visually determine if a graph is a function by using the Vertical Line Test. If a vertical line crosses the graph more than once, it is not a function.

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What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, which represents a straight line.

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What is an example of a non-function?

Back

An example of a non-function is the equation x^2 + y^2 = 1, which represents a circle.

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

Can a relation be a function?

Back

Yes, a relation can be a function if it meets the criteria that each input has exactly one output.

Front

What is the difference between a function and a non-function?

Back

The difference is that a function has one output for each input, while a non-function may have multiple outputs for a single input.

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What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs produce the same output.

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What is a many-to-one function?

Back

A many-to-one function is a function where multiple inputs can produce the same output.