Find the Domain y=-16t^2+224

Problem

y=−16*t2+224

Solution

1. Identify the type of function. The given equation y=−16*t2+224 is a polynomial function, specifically a quadratic function.

2. Determine the constraints for the variable t In a polynomial function, there are no square roots of negative numbers and no denominators that could equal zero.

3. Conclude the mathematical domain. Since there are no restrictions on the input t the function is defined for all real numbers.

4. Consider the context if t represents time. In many physics applications involving this type of equation, t is restricted to t≥0 but without specific context, the mathematical domain is used.

Final Answer

Domain: *(−∞,∞)

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