Function vs Nonfunction

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What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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What is a non-function?

Back

A non-function is a relation where at least one input is related to more than one output.

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How can you determine if a relation is a function?

Back

You can determine if a relation is a function by using the vertical line test: if a vertical line intersects the graph of the relation at more than one point, 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, where each x value has a unique y value.

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What is an example of a non-function?

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An example of a non-function is the equation x^2 + y^2 = 1, where some x values correspond to multiple y values.

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What does the term 'input' refer to in a function?

Back

The input refers to the value that is put into a function, often represented as 'x'.

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What does the term 'output' refer to in a function?

Back

The output refers to the value that comes out of a function after applying the input, often represented as 'y'.

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Can a function have the same output for different inputs?

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Yes, a function can have the same output for different inputs, as long as each input corresponds to only one output.

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What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its corresponding output.

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What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x values) that the function can accept.