Find the Domain -x^3+2x^2+20x+24

Problem

ƒ(x)=−x3+2*x2+20*x+24

Solution

1. Identify the type of function provided. The expression −x3+2*x2+20*x+24 is a polynomial function.

2. Recall the properties of polynomial functions. 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 by considering all possible values of x Since any real number can be cubed, squared, and multiplied without restriction, the domain is the set 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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