Find the Domain f(x)=8x^3-10x^2+2x-16

Problem

ƒ(x)=8*x3−10*x2+2*x−16

Solution

1. Identify the type of function provided. The expression 8*x3−10*x2+2*x−16 is a polynomial function.

2. Determine if there are any restrictions on the input variable x Polynomials do not contain denominators with variables, square roots of negative numbers, or logarithms.

3. Conclude that since there are no values of x that would make the expression undefined, the function is defined for all real numbers.

4. Express the domain in interval notation, which represents all values from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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