Question

4) Dada a função f,com f(x) = 3x – 1, determine: a) f(1) - (0) b) f(2) - f(1) c) f(3) - f(2) d) f(4) - f(3)​

Answer 1

Resposta:

$\mathrm{Dominio\:de\:}\:3x-1\::\quad \begin{bmatrix}\mathrm{Solucao:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Notacao\:intervalo}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\\\\\mathrm{Imagem\:de\:}3x-1:\quad \begin{bmatrix}\mathrm{Solucao:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Notacao\:intervalo}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\\\\\mathrm{Paridade\:de}\:3x-1:\quad \mathrm{Nao\:e\:par\:nem\:impar}$

$\mathrm{Pontos\:de\:interseccao\:com\:o\:eixo\:de}\:3x-1:\quad \mathrm{X\:intersepta}:\:\left(\frac{1}{3},\:0\right),\:\mathrm{Y\:intersepta}:\:\left(0,\:-1\right)\\\\\mathrm{Inversa\:de}\:3x-1:\quad \frac{x+1}{3}\\\\\mathrm{Inclinacao\:de\:}3x-1:\quad m=3\\\\3x-1\\\\\mathrm{Para\:a\:equacao\:de\:reta\:da\:forma\:}\mathbf{y=mx+b}\mathrm{,\:a\:inclinacao\:e\:}\mathbf{m}\\\\m=3$