Find the Domain h=60t-5t^2

Problem

h=60*t−5*t2

Solution

1. Identify the type of function. The given expression h=60*t−5*t2 is a polynomial function (specifically a quadratic function).

2. Determine if there are any restrictions. Polynomial functions are defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

3. State the domain in terms of the variable t Since there are no mathematical constraints, the domain consists of all real numbers.

4. Consider the context. In many physics applications where h represents height and t represents time, t is often restricted to t≥0 and until the object hits the ground (h≥0. However, mathematically, the domain of the function itself is all real numbers.

Final Answer

Domain: *(−∞,∞)

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