Find the Domain y=x^2+10x+33

Problem

y=x2+10*x+33

Solution

1. Identify the type of function. The given equation y=x2+10*x+33 is a polynomial function, specifically a quadratic.

2. Check for restrictions. Polynomial functions do not contain square roots of negative numbers, logarithms, or variables in the denominator.

3. Determine the set of all possible input values. Since there are no values of x that would make the expression undefined, 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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