Question

Escreva a função afim f (x) = ax + b, sabendo que:
a) f(1) = 5 e f(-3) = - 7
 b) f(-1) = 7 e f(2) = 1

Answer 1

$a)\\\\f(x)=ax+b\\f(1)=5\\f(-3)=-7\\a+b=5\\-3a+b=-7\\ \left \{ {{a+b=5} \atop {-3a+b=-7\}} \right. \\2a=12\\a=6\\b=-1\\\\\boxed{f(x)=6x-1}$

$b)\\\\f(x)=ax+b\\f(-1)=7\\f(2)=1\\-a+b=7\\2a+b=1\\-3a=6\\a=-2\\b=5\\\\\boxed{f(x)=-2x+5}$