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Which of the following statements about functions is not true?

1) Functions can have multiple outputs
2) Functions can have multiple inputs
3) Functions can have a range of values for the domain
4) Functions can have a range of values for the codomain

User Bachonk
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1 Answer

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Final answer:

The statement that functions can have multiple outputs is false because a function can only assign one output for each input.

Step-by-step explanation:

The statement about functions that is not true is 1) Functions can have multiple outputs. By definition, a function assigns exactly one output for each input. This means a single input cannot have multiple outputs, which is what differentiates a function from a more general relation. Statement 2) Functions can have multiple inputs is true, as functions can take more than one input variable. Statements 3) Functions can have a range of values for the domain and 4) Functions can have a range of values for the codomain are also true. The domain is the set of all possible inputs that a function can accept, which indeed can be a range of values, and the codomain is the set of all possible outputs, which, too, can be a range.

User Myroslav Hryshyn
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