Find the Domain y=-2x^2+3

Problem

y=−2*x2+3

Solution

1. Identify the type of function. The given equation y=−2*x2+3 is a polynomial function, specifically a quadratic function.

2. Check for restrictions. Polynomial functions do not contain variables in denominators, under even-indexed roots, or within logarithms.

3. Determine the input values. Since there are no mathematical operations that would result in undefined values (like division by zero or taking the square root of a negative number), the function is defined for all real numbers.

4. State the domain. The domain of any polynomial function is the set of all real numbers, which can be expressed in interval notation.

Final Answer

Domain: *(−∞,∞)

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