Find the Domain y=4x-x^2

Problem

y=4*x−x2

Solution

1. Identify the type of function. The given expression y=4*x−x2 is a polynomial function, specifically a quadratic function.

2. Determine any restrictions on the input variable x Polynomials do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Conclude that since there are no mathematical restrictions on x the function is defined for all real numbers.

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

Final Answer

Domain: *(−∞,∞)

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