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Find the Domain y^3-3.55y^2+0.8=0

Problem

y3−3.55*y2+0.8=0

Solution

  1. Identify the type of expression given. The expression y3−3.55*y2+0.8 is a polynomial function.

  2. Recall the definition of the domain for a polynomial. A polynomial is defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

  3. Determine the set of all possible input values for y Since there are no restrictions on the variable y in a polynomial equation, the domain is the set of all real numbers.

  4. Express the domain using standard notation. In interval notation, the set of all real numbers is written as (−∞,∞)

Final Answer

Domain:(−∞,∞)


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