Find the Domain f(x)=-2x^3-7x^2+14x-8

Problem

ƒ(x)=−2*x3−7*x2+14*x−8

Solution

1. Identify the type of function. The given function ƒ(x)=−2*x3−7*x2+14*x−8 is a polynomial function.

2. Recall the properties of polynomial functions. Polynomials are defined for all real numbers because they do not contain any operations that restrict the input, such as division by zero or taking the square root of a negative number.

3. Determine the set of all possible input values for x Since there are no denominators or radicals, x can be any real number.

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

Final Answer

Domain: *(−∞,∞)

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