Find the Domain f(x)=x^3

Problem

ƒ(x)=x3

Solution

1. Identify the type of function. The function ƒ(x)=x3 is a polynomial function of degree 3.

2. Analyze the restrictions. For a function to have a restricted domain, there must be operations that are undefined for certain real numbers, such as division by zero or taking the even root of a negative number.

3. Determine the possible values for x Since any real number can be cubed (multiplied by itself three times) without violating any mathematical rules, there are no restrictions on the input x

4. State the domain in interval notation. The domain includes all real numbers from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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