Find the Domain x^4

Problem

x4

Solution

1. Identify the type of function. The expression x4 is a polynomial function, specifically a power function with a positive integer exponent.

2. Analyze the restrictions. Polynomial functions 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 set of all possible input values for x Since any real number can be raised to the fourth power, the domain consists of all real numbers.

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

Final Answer

Domain=(−∞,∞)

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