Question

Dada a função F(x) = ax + b e sabendo-se que F(3) = 4 eF(-2) = -6 calcule F(1/2)

Answer 1

f(3) = 3a+b = 4

f(-2) = -2a+b = -6 . (-1)

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3a+b = 4

2a-b = 6

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5a = 10

a = 10/5

a = 2

 

3a+b = 4

3.2+b = 4

6+b = 4

b = 4-6

b = -2

 

f(x) = 2x - 2

f(1/2) = 2.1/2 - 2

f(1/2) = 1 - 2

f(1/2) = -1