The domain of a quadratic function, such as \( f(x) = -2x^2 + 12x - 10 \), is typically all real numbers unless stated otherwise by a specific context, such as restrictions from a problem or application.
Since there are no restrictions in this case, the domain of the function \( f(x) \) is
\[ (-\infty, \infty) \]
If you are restricted to a specific range on the graph (such as \( x \) values shown on the axes), you would need to use that range instead. Based on your description of the axes ranging from 10 to -10, if the graph were limited to that visual range:
The domain of the function in the context of the graph would be \([-10, 10]\).
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