Question

esboce o gráfico das seguintes funções
a) f(x) = 2x - 4

b)f(x) = x - 3

c)f(x) = -x +1

d)f(x) = 2x - 3

e)f(x) = 5 - 2x​

Answer 1

a) f(x) = 2x - 4

$2x-4=0\\2x-4+4=0+4\\\frac{2x}{2}=\frac{4}{2}\\2x=4\\x=2 \\\left(2,\:0\right)\\\\y=2x-4\\y=2.0-4\\y= 4\\\left(0,\:-4\right)$

b) f(x) = x - 3

$x - 3 = 0\\x -3 +3 = 0 +3\\x = 3\\(3, 0)\\\\y = x - 3\\y = 0 - 3\\y = -3\\(0, -3)$

c)f(x) = -x +1

$-x + 1 = 0 (-)\\x - 1 = 0\\x - 1 + 1 = 0 + 1\\x = 1\\(1, 0)\\\\y = -x + 1\\y = -0 +1\\y= 1\\(0, 1)$

d)f(x) = 2x - 3

$2x-3=0\\2x-3+3=0+3\\2x=3\\\frac{2x}{2}=\frac{3}{2}\\x=\frac{3}{2}\\\left(\frac{3}{2},\:0\right)\\\\y=2\cdot \:x-3\\y=2\cdot \:0-3\\y=0-3\\y=-3\\\left(0,\:-3\right)$

e)f(x) = 5 - 2x​

$5-2x=0\\5-2x-5=0-5\\-2x=-5\\\frac{-2x}{-2}=\frac{-5}{-2}\\x=\frac{5}{2}\\\left(\frac{5}{2},\:0\right)\\\\y=5-2\cdot \:x\\y=5-2\cdot \:0\\y=5-0\\y=5\\\left(0,\:5\right)$