Question

f(x) = 3(x - 3)(x + 8)
Encuentre el valor mínimo de la función dada.

Answer 1

Respuesta:

$\left(-\frac{5}{2},\:-\frac{363}{4}\right)$

Explicación paso a paso:

$f(x) = 3(x - 3)(x + 8)\\\\f\left(x\right)\ge \:-\frac{363}{4}\\\\\mathrm{X\:intersecta}:\:\left(3,\:0\right),\:\left(-8,\:0\right),\:\mathrm{Y\:intersecta}:\:\left(0,\:-72\right)$

$y=3\left(x-3\right)\left(x+8\right)\\\\a=3,\:m=3,\:n=-8\\\\x_v=\frac{3+\left(-8\right)}{2}\\\\x_v=-\frac{5}{2}\\\\y_v=-\frac{363}{4}\\\\\left(-\frac{5}{2},\:-\frac{363}{4}\right)$