Question

F(x)= 2x3 -2x2 -16x+1

Answer 1

F(x)= 2x3 -2x2 -16x+1:

$\mathrm{Simplificar}\:2x\cdot \:3-2x\cdot \:2-16x+1:\quad -14x+1\\\\Pasos\\2x\cdot \:3-2x\cdot \:2-16x+1\\\\\mathrm{Multiplicar\:los\:numeros:}\:2\cdot \:3=6\\\\=6x-2\cdot \:2x-16x+1\\\\\mathrm{Multiplicar\:los\:numeros:}\:2\cdot \:2=4\\\\=6x-4x-16x+1\\\\\mathrm{Sumar\:elementos\:similares:}\:6x-4x-16x=-14x\\\\=-14x+1$

$\mathrm{Dominio\:de\:}\:-14x+1\::\quad \begin{bmatrix}\mathrm{Solucion:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Notacion\:intervalo}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}$$\mathrm{Rango\:de\:}-14x+1:\quad \begin{bmatrix}\mathrm{Solucion:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Notacion\:intervalo}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\\\\\mathrm{Paridad\:de}\:-14x+1:\quad \mathrm{No\:es\:par\:ni\:impar}\\\\\mathrm{Puntos\:de\:interseccion\:con\:el\:eje\:de}\:-14x+1:\quad \mathrm{X\:intersecta}:\:\left(\frac{1}{14},\:0\right),\:\mathrm{Y\:intersecta}:\:\left(0,\:1\right)\\\\\mathrm{Inversa\:de}\:-14x+1:\quad -\frac{x-1}{14}$$\mathrm{Pendiente\:de\:}-14x+1:\quad m=-14$

Graficando:  y=-14x+1

Espero te sirva, saludos.