a)
f(x) = x + b
f(2) = 2 + b = 5 --> b = 3
f(x) = x + 3
y-Achsenabschnitt f(0)
f(0) = 3
Nullstelle f(x) = 0
f(x) = x + 3 = 0 --> x = -3
b)
f(x) = m·x - 10
f(-2) = m·(-2) - 10 = -5 --> m = -2.5
f(x) = -2.5·x - 10
y-Achsenabschnitt f(0)
f(0) = -10
Nullstelle f(x) = 0
f(x) = -2.5·x - 10 = 0 --> x = -4
c)
f(x) = 1.8·x + b
f(0.5) = 1.8·(0.5) + b = 3.5 --> b = 2.6
f(x) = 1.8·x + 2.6
y-Achsenabschnitt f(0)
f(0) = 2.6
Nullstelle f(x) = 0
f(x) = 1.8·x + 2.6 = 0 --> x = - 13/9