Найдите область значений функции y=-x^2+4x+3, где x€[0; 5].

\[y = - x^{2} + 4x + 3;\ \ \ \lbrack 0;5\rbrack.\]

\[m = - \frac{b}{2a} = - \frac{4}{- 2a} = 2;\ \ \]

\[n(2) = - 4 + 8 + 3 = 7.\]

\[y(0) = 3;\]

\[y(5) = - 25 + 20 + 3 = - 2.\]

\[E(y) = \lbrack - 2;7\rbrack.\]