Find the Domain y=x^2

Problem

y=x2

Solution

1. Identify the type of function. The given equation y=x2 is a polynomial function, specifically a quadratic function.

2. Determine if there are any restrictions on the input variable x For a polynomial function, there are no denominators that could be zero and no even-indexed roots (like square roots) that could have negative radicands.

3. Conclude that the function is defined for all real numbers. In interval notation, this is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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