Question

Construa o gráfico das funções a seguir:

a) y= x+1
b) y= -x+4
c) f(x)= 3x+1

Answer 1

$a) \\ y=x+1 \\ \\ com~~y=0 \\ x+1=0 \\ x=-1 \\ \\ ponto~~(-1,0)~~corta~~eixo~~x \\ \\ com~~x=0 \\ y=0+1 \\ y=1 \\ \\ ponto~~(0,1)~~corta~~eixo~~y$
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$b) \\ y=-x+4 \\ \\ com~~y=0 \\ -x+4=0 \\ -x=-4~~\times(-1) \\ x=4 \\ \\ ponto~~(4,0)~~corta~~eixo~~x \\ \\ com~~x=0 \\ y=-0+4 \\ y=4 \\ \\ ponto~~(0,4)~~corta~~eixo~~y$
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$c) \\ y=3x+1 \\ \\ com~~y=0 \\ 3x+1=0 \\ 3x=-1 \\ x=- \frac{1}{3} \\ \\ ponto~~(- \frac{1}{3} ,0)~~corta~~eixo~~x \\ \\ com~~x=0 \\ y=3(0)+1 \\ y=1 \\ \\ ponto~~(0,1)~~corta~~eixo~~y$