Find the Domain h(t)=300-16t^2

Problem

h(t)=300−16*t2

Solution

1. Identify the type of function. The function h(t)=300−16*t2 is a polynomial function of degree 2.

2. Check for restrictions. Polynomial functions do not contain any operations that restrict the input, such as division by zero or taking the square root of a negative number.

3. Determine the domain. Since there are no mathematical restrictions, the function is defined for all real numbers.

4. Consider the context. If this function represents a physical scenario (like the height of a falling object), t would typically be restricted to t≥0 and h(t)≥0 However, as a purely mathematical expression, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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