Find the Domain y=2(x-4)(x-2)

Problem

y=2*(x−4)*(x−2)

Solution

1. Identify the type of function. The given expression y=2*(x−4)*(x−2) is a polynomial function (specifically, a quadratic function in factored form).

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

3. Determine the domain. Since the function is defined for every real number x the domain consists of 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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