Is it a function?

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What is a function in mathematics?

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 definition of the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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What is the definition of the range of a function?

Back

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

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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 does it mean for a graph to represent a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

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What is an ordered pair in the context of functions?

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An ordered pair is a pair of numbers (x, y) that represents a point on a graph, where 'x' is the input and 'y' is the output.

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What is the significance of the Vertical Line Test?

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The Vertical Line Test is used to determine if a graph represents a function; if a vertical line intersects the graph more than once, it is not a function.

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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' is associated with two different outputs.

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

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A function has a unique output for each input, while a non-function can have multiple outputs for the same input.

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How do you find the domain of a given set of ordered pairs?

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To find the domain, list all the first elements (x-values) from the ordered pairs without repetition.