Find the Domain y=(x-3)^2

Problem

y=(x−3)2

Solution

1. Identify the type of function. The given equation y=(x−3)2 is a polynomial function, specifically a quadratic function.

2. Determine if there are any restrictions on the input x Polynomials are defined for all real numbers because there are no denominators that could be zero and no square roots of negative numbers to consider.

3. Conclude that the variable x can take any real value. In interval notation, this is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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