Question

Determine a função afim tal que f(1)=3 e f(3)=5

Answer 1

f(x) = ax + b
f(1) = 3
a + b = 3
f(3) = 5
3a + b = 5

a+b = 3 . (-1)
3a+b = 5

-a -b = -3
3a+b = 5
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2a = 2
a = 2/2
a = 1

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

f(x) = x + 2