Functions Practice

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What is a function?

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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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How do you evaluate a function at a specific point?

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To evaluate a function at a specific point, substitute the value of the variable into the function's equation and simplify.

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What determines if a relation is a function?

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

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Is the relation {(1,2), (1,3), (2,4)} a function? Why?

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No, because the x-value 1 has two different y-values (2 and 3).

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Define the term 'domain' in relation to functions.

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