Use the image to answer the question.

Question

A coordinate graph shows an open downward parabola. The x and y axis range from 10 to negative 10.

A quadratic function is represented by the equation f(x)=−2x2+12x−10
. The graph of this function is shown. Determine the function’s domain.

(1 point)
The domain of the function is
.

Answer 1

The domain of a quadratic function, such as \( f(x) = -2x^2 + 12x - 10 \), is all real numbers unless there are restrictions specified in the context (for example, if the function is tied to a real-world scenario that limits x).

Since there are no restrictions in the provided information, the domain of the function is:

\[ \text{All real numbers} \quad (-\infty, \infty) \]

If you need a specific interval notation or format, you can simply state:

The domain of the function is \( (-\infty, \infty) \).