Will give medal. What are the domain and range of the following function:
f(x)=x^2-2x+2

Question

Will give medal. What are the domain and range of the following function:
f(x)=x^2-2x+2

anonymous · Answer

@satellite73

anonymous · Answer

it is a polynomial, so domain is all real numbers

anonymous · Answer

because the graph is a parabola that opens up, the range will be from the second coordinate of the vertex to infinity, so you need to find the vertex

anonymous · Answer

the first coordinate of the vertex of $y=ax^2+bx+c$ is $-\frac{b}{2a}$
you have $f(x)=x^2-2x+2$ so the first coordinate of the vertex is $-\frac{-2}{2\times 1}=1$

anonymous · Answer

the second coordinate of the vertex is $f(1)$  compute that number

anonymous · Answer

will it be domain=all real numbers, and range equal y>=1

anonymous · Answer

yes

anonymous · Answer

Ok. Thank you. I've been trying to figure that out for awhile now. :)

anonymous · Answer

yw