Identifying Functions

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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 the domain of a function?

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

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What is the range of a function?

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The range of a function is the set of all possible output values (y-values) that the function can produce.

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

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A relation is a function if every input (x-value) is associated with exactly one output (y-value).

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What is an example of a function?

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An example of a function is f(x) = 2x + 3, where each x-value has a unique corresponding y-value.

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What is a non-function?

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A non-function is a relation where at least one input (x-value) is associated with more than one output (y-value).

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How can you determine if a set of points represents a function?

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You can use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

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What are outputs in a function?

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Outputs are the values that result from applying the function to the inputs, often represented as y-values.

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What is a mapping diagram?

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A mapping diagram visually represents the relationship between inputs and outputs in a function.

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What is a table of values?

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A table of values lists pairs of input (x) and output (y) values to show the relationship in a function.