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Find the Domain y=x^2-8x-20

Problem

y=x2−8*x−20

Solution

  1. Identify the type of function provided. The expression y=x2−8*x−20 is a polynomial function, specifically a quadratic.

  2. Analyze the constraints for the domain. For a polynomial function, there are no denominators that could be zero and no square roots of negative numbers to consider.

  3. Determine the set of all possible input values for x Since any real number can be squared and multiplied by constants, the function is defined for 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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