Question

y=x squared-6x-11
what is range and domain?
y=x squared-6x-11
what is range and domain?
@Mathematics

Answer 1

D: {x| x belongs to R}

R: {y| y belongs to R, y >= -20}

Answer 2

wouldn't domain of x be infinity, and y is greater than or equal to -11?

Answer 3

if domain belongs to R (real numbers) that does mean in mathematical terms that it is until infinity.

And no, the vertex is at -20, so the graph is always greater or equal to -20

Answer 4

the domain is until +/- infinity, keep that in mind too.

Answer 5

what is the range it is not -11 or -20 my answer chosses are \[y \le2 ,y \le-2, or y <2\]

Answer 6

we can add and subtract 9 to complete the square; -11-9 = -20 as the y component of the vertex

Answer 7

as you can see; its at a minimum when x=3; y=-20

http://www.wolframalpha.com/input/?i=y%3Dx^2-6x-11+

Answer 8

what would be the vertex and the real zeros of \[y=-x ^{2}+2x-2\]