Find the Domain y=-25x^2+100x+3500

Problem

y=−25*x2+100*x+3500

Solution

1. Identify the type of function provided. The expression y=−25*x2+100*x+3500 is a polynomial function, specifically a quadratic function.

2. Determine the constraints for the domain. Polynomial functions are defined for all real numbers because there are no denominators that could be zero and no even-indexed roots of negative numbers.

3. State the domain in interval notation. Since there are no restrictions on the input x the domain includes every value from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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