Question
What is the domain of this quadratic function?
y=x2–8x+16
y=x2–8x+16
Answers
GPT-4o mini
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 \( x \).
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 \( x \).