Find the Domain y=x^2-2x

Problem

y=x2−2*x

Solution

1. Identify the type of function provided. The expression x2−2*x is a polynomial function, specifically a quadratic.

2. Check for restrictions such as denominators that could be zero or square roots of negative numbers. Since there are no fractions or radicals, there are no values of x that make the expression undefined.

3. Determine the set of all possible input values. For any polynomial, 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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