Find the Domain y=(x-2)^2

Problem

y=(x−2)^2

Solution

1. Identify the type of function. The given equation y=(x−2)^2 is a polynomial function, specifically a quadratic function.

2. Analyze the expression for restrictions. Polynomials are 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 x Since any real number can be subtracted by 2 and then squared, x can be any value from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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