Find the Domain y=x^2+20x

Problem

y=x2+20*x

Solution

1. Identify the type of function provided. The expression y=x2+20*x is a polynomial function, specifically a quadratic function.

2. Determine if there are any restrictions on the input variable x Polynomials do not contain denominators that could be zero or square roots of negative numbers.

3. Conclude that the function is defined for all real numbers because there are no values of x that would make the expression undefined.

4. Express the domain in interval notation, which represents all values from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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