Question

1) - Represente No Plano Cartesiano E Construa o Gráfico das Funções A Seguir:

A) y = 2x - 3

B) y = 2x

C) y = 2x + 1

Answer 1

a) $y=2x-3$

y = 0

$2x-3=0~~\Rightarrow~~2x=3~~\Rightarrow~~x=\dfrac{3}{2}$.

x = 0

$y=2(0)-3~~\Rightarrow~~y=0-3~~\Rightarrow~~y=-3$.


O gráfico passa pelos pontos $(\frac{3}{2},0)$ e $(0,-3)$.


b) $y=2x$

x = -2

$y=2(-2)~~\Rightarrow~~y=-4$

x = 2

$y=2\cdot2~~\Rightarrow~~y=4$

O gráfico passa pelos pontos $(-2,-4)$ e $(2,4)$.


c) $y=2x+1$

y = 0

$2x+1=0~~\Rightarrow~~2x=-1~~\Rightarrow~~x=-\dfrac{1}{2}$.


x = 0

$y=2\cdot0+1~~\Rightarrow~~y=0+1~~\Rightarrow~~y=1$

O gráfico passa pelos pontos $(\frac{1}{2},0)$ e $(0,1)$.