Question

1. A função real f é definida por f(x) = ax + b. Sabe-se que f(1) = – 3 e f(– 1) = 4. Determine o valor de f(0) + f(2).
- 6
- 2
2
6

Answer 1

Resposta:

Letra A)-6

Explicação passo-a-passo:

$F(1)=-3\\F(-1)=4\\F(0)=F(2)?\\\\F(1)=a+b\\ -3=a+b\\\\F(-1)=-a+b\\4=-a+b\\\left \{ {-3=a+b} \atop {4=-a+b} \right.\\2b=+1\\b=\frac{1}{2} \\4=-a+b\\4=-a+\frac{1}{2}\\4-\frac{1}{2}=-a\\\frac{7}{2} =-a\\a=-\frac{7}{2}\\\\F(0)=b\\F(0)=\frac{1}{2}\\F(2)=2a+b\\F(2)=\frac{-14}{2}+\frac{1}{2}\\F(2)=-\frac{-13}{2} \\F(0)+F(2)=\frac{-13}{2}+\frac{1}{2} =-6$