Find the Domain h(x)=-16x^2+80x+200

Problem

h(x)=−16*x2+80*x+200

Solution

1. Identify the type of function. The expression h(x)=−16*x2+80*x+200 is a polynomial function, specifically a quadratic function.

2. Determine if there are any restrictions. For a function to have a restricted domain, there must be operations that are undefined for certain real numbers, such as division by zero or taking the square root of a negative number.

3. Analyze the expression for restrictions. Since there are no denominators containing variables and no radicals with even indices, the function is defined for all real numbers.

4. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain of *h(x)=(−∞,∞)

Want more problems? Check here!