Find the Domain y=0.25x-0.05x-100

Problem

y=0.25*x−0.05*x−100

Solution

1. Identify the type of function. The given equation is a linear function, which is a specific type of polynomial function.

2. Analyze the expression for restrictions. Polynomial functions do not have denominators containing variables, square roots of negative numbers, or logarithms.

3. Determine the set of all possible input values for x Since there are no mathematical operations in the expression that are undefined for any real number, x can be any real value.

4. State the domain in interval notation. The domain of any polynomial function is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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