Find the Domain y=x^2-2x-5

Problem

y=x2−2*x−5

Solution

1. Identify the type of function. The given equation y=x2−2*x−5 is a polynomial function, specifically a quadratic.

2. Check for restrictions. Polynomial functions do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine the set of possible input values. Since there are no mathematical constraints on the variable x it can take any real number value.

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

Final Answer

Domain:(−∞,∞)

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