Question

na função f(x)= ax+b, sabe-se que f(-1)=3 e f(1)=0. calcule f(3)

Answer 1

f(x) = ax + b

f(-1) = 3
-1a + b = 3

f(1) = 0
1a + b = 0

-1a + b = 3
1a + b = 0
2b = 3
b = 3/2

-1a + b = 3
-1a + 3/2 = 3
-2a + 3 = 6
-2a = 6-3
-2a = 3 *(-1)
a = -3/2

f(x) = -3/2x + 3/2

f(3) = -3/2*(3) + 3/2
f(3) = -9/2 + 3/2
f(3) = -6/2
f(3) = -3


Resposta: f(3) = -3.