What is the domain of this quadratic function?

y=x2–8x+16

1 answer

The domain of a quadratic function is the set of all possible input values (x-values) for which the function is defined.

For the given quadratic function:

\( y = x^2 - 8x + 16 \)

This is a polynomial function, and polynomial functions are defined for all real numbers. Therefore, the domain of the function is:

\[ \text{Domain} = (-\infty, \infty) \]

In interval notation, this means that you can plug any real number into the function for \( x \).