Question

determine the domain and the range of the function: f(x)=x^2+6x

Answer 1

help

Answer 2

domain of any polynomial is all real numbers \(\mathbb{R}\)

Answer 3

range is from the second coordinate of the vertex to \(\infty\)
the first coordinate of the vertex is always \(-\frac{b}{2a}\)
in your case it is \(-\frac{6}{2\times 1}=-3\) and the second coordinate is what you get when you replace \(x\) by \(-3\)

Answer 4

would i square the negative 3

Answer 5

yes

Answer 6

you would compute \((-3)^2+6\times (-3)\)