What is the domain of the function y = RootIndex 3 StartRoot x EndRoot?
Negative infinity less-than x less-than infinity
0 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity

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Answer:

A

All real number which would be -infinity < x < infinity

The domain of the function is the set of all real numbers given by; Negative infinity less-than x less-than infinity.

What is the domain of the function?

According to the task content;

  • It follows that the function whose domain is to be defined is; y = ³√x.

Since, the domain of a function includes all possible values of its input variables (x in this case). It follows that the domain of the function in discuss is; all real number values. This follows from the fact that all the cube root of all real numbers can be evaluated.

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