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Can the domain x repeat in a function?

Updated: 4/28/2022
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9y ago

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The domain x can repeat in a function as long as it represents the same integer throughout the entire function.

* * * * *

The above answer is not true for a number of reasons.

First of all, the domain of a function need not be restricted to integers, as is implied above.

Second, consider f of x, denoted by f(x), which is defined in the following table:

x f(x)

1 2

2 3

1 4

The value x = 1 repeats. In both cases it represents the same integer. However, the corresponding value of f(x) is not the same. The relationship between x and f(x) is one-to-many. Therefore, f(x) is not a function.

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9y ago
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9y ago

Generally speaking, no. But it can be if it is mapped to the same y in the range.

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