Function or Non Function

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

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What is a relation?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

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What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

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Can a function have the same output for different inputs?

Back

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

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What is an example of a function?

Back

An example of a function is f(x) = x + 2, where each input x gives a unique output.

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What is an example of a non-function?

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An example of a non-function is the relation {(1, 2), (1, 3)}, where the input 1 has two different outputs.

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What does it mean for a relation to be one-to-one?

Back

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

Front

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.