Question

Find the domain and range of
F(x) = -2 (x-1)^2 +7

Answer 1

\((x-1)^2\geq 0\) because it is a square so cannot be negative
therefore \(-2(x-1)^2\leq 0\) because of the minus sign and therefore
\[-2(x-1)^2+7\leq 7\]

Answer 2

that tells you the range is \((-\infty, 7]\)
domain is all real numbers because it is a polynomial

Answer 3

Domain: all real numbers
Range: \[y \le 7\]

Answer 4

satellite got it right

Answer 5

Thanks C: