Find the Domain -x^2+33

Problem

ƒ(x)=−x2+33

Solution

1. Identify the type of function provided. The expression ƒ(x)=−x2+33 is a polynomial function, specifically a quadratic function.

2. Determine if there are any restrictions on the input variable x Polynomials do not contain division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Conclude that since there are no mathematical operations that restrict the input, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!