Understanding functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

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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 an output.

Front

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

Back

A relation is a function if each input is related to exactly one output.

Front

How can you tell if a graph represents a function?

Back

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

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if a vertical line crosses the graph more than once.

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What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.

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What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input 1 is related to two different outputs.

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What is a domain in a function?

Back

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

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What is a range in 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 is a one-to-one function?

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