exercitiul 1 va roooooooooog

Răspuns:
Explicație pas cu pas:
1.
f(x) = ax + b
A(1, -1); B(0, 4) ∈ Gf
f(1) = -1
f(0) = 4
a + b = -1
b = 4
a = -1 - b = -1 - 4 = -5
f(x) = -5x + 4
_______________
f(x) = ax + b
A(0, -6); B(8, 0) ∈ Gf
f(0) = -6
f(8) = 0
b = -6
8a + b = 0
8a - 6 = 0
8a = 6
a = 6/8 = 3/4
f(x) = 3x/4 - 6
_______________
f(x) = ax + b
A(-2, 6); B(3, -4) ∈ Gf
f(-2) = 6
f(3) = -4
-2a + b = 6
3a + b = -4
________
2a - b = -6
3a + b = -4
2a - b + 3a + b = -6 - 4
5a = -10
a = -10/5 = -2
b = 6 + 2a = 6 - 4 = 2
f(x) = -2x + 2