Question

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.

Answer 1

The domain of a quadratic function, like the one given by the equation \( f(x) = -2x^2 + 12x - 10 \), is typically all real numbers. This is because a quadratic function is defined for all values of \( x \).

In interval notation, the domain of the function can be expressed as:

\[
(-\infty, \infty)
\]

This means that you can input any real number into this function, and it will produce a corresponding output.