Find the Domain y=-1/4x^2

Problem

y=−1/4*x2

Solution

1. Identify the type of function. The given expression y=−1/4*x2 is a polynomial function, specifically a quadratic function.

2. Determine if there are any restrictions on the input variable x Polynomials do not contain denominators with variables, square roots of negative numbers, or logarithms.

3. Conclude that since there are no values of x that would make the expression undefined, 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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