Final answer:
The domain of the quadratic function 2x^2 - 4 is all real numbers, represented as (-∞, ∞), because quadratic functions are defined for every real number.
Step-by-step explanation:
The question concerns the concept of the domain of a function in mathematics, specifically the domain of the quadratic function 2x^2 - 4.
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
In the case of a quadratic function, such as the one provided, the domain is all real numbers because a quadratic function is defined for every real number.
Therefore, no matter what x-value you choose, you can always calculate 2x^2 - 4.
The function does not impose any restrictions like a square root or a denominator that could become zero, which would typically restrict the domain.
Thus, simply put, the domain of the function 2x^2 - 4 is all real numbers, which can be represented mathematically as (-∞, ∞).