Question

Escreva a funçao afim sabendo que A ) f(1)=5 e f(-3)=-7, B) f(-3)=9 e f(5) = -7, C)f(-1)=1 e f(2)=0, D)f(-1)=7 e f(2)=1, E)f(3)=5 e f (-2)=-5

Answer 1

Olá Alexandro

a) f(1) = 5, f(-3) = -7

a + b = 5
-3a + b = -7

4a = 12, a = 3 , b = 2

f(x) = 3x + 2

b) f(-3) = 9, f(5) = -7 

-3a + b = 9
5a + b = -7 

8a = -16, a = -2, b = 3

f(x) = -2x + 3

c) f(-1) = 1, f(2) = 0

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

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

f(x) = (-x + 2)/3 

d) f(-1) = 7, f(2) = 1

-a + b = 7
2a + b = 1

3a = -6, a = -2, b = 7 + a = 5 

f(x) = -2x + 5 

e) f(3) = 5, f(-2) = -5

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

5a = 10, a = 2, b = 5 - 3a = 5 - 6 = -1

f(x) = 2x - 1 

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