The function that has a domain of all real numbers is:
A. [tex]y = 2x^{\frac{1}{3}} - 7[/tex].
The domain of a function is the set that contains all possible input values for the function.
If a function has an even root, equivalent to an exponent of [tex]\frac{1}{n}[/tex] with n even, the domain is only positive values, while if the exponent is odd, the domain is all real values.
Researching the problem on the internet, the function with odd exponent is:
A. [tex]y = 2x^{\frac{1}{3}} - 7[/tex].
More can be learned about the domain of a function at https://brainly.com/question/10891721
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