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Find the Domain x^3+8

Problem

x3+8

Solution

  1. Identify the type of function. The expression x3+8 is a polynomial function.

  2. Recall the properties of polynomials. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even-indexed roots of negative numbers.

  3. Determine the domain. Since there are no restrictions on the input x the domain consists of all real numbers.

  4. Express the domain in interval notation. The set of all real numbers is written as (−∞,∞)

Final Answer

Domain of *x3+8=(−∞,∞)


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