Find the Domain y=2x^2-3x-1

Problem

y=2*x2−3*x−1

Solution

1. Identify the type of function. The given equation y=2*x2−3*x−1 is a polynomial function, specifically a quadratic function.

2. Analyze the constraints for the domain. For polynomial functions, there are no denominators that could be zero and no square roots of negative numbers to consider.

3. Determine the set of possible input values. Since any real number x can be squared, multiplied by a constant, and subtracted without resulting in an undefined value, 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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