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Decide if the following statement about functions is true or false:All relations are functions.

Question

Decide if the following statement about functions is true or false:All relations are functions.

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Solution

The statement is false. Not all relations are functions. A relation is any set of ordered pairs. A function is a special type of relation where each input (or 'x' value) has exactly one output (or 'y' value). So while all functions are relations, not all relations are functions.

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Which of the statement is true regarding function?

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