Answer:
f(x) = x + 2
Step-by-step explanation:
A linear function has the form
f(x) = mx + c
Evaluate f(0) = 2, that is
2 = m(0) + c
2 = 0 + c ⇒ c = 2
Evaluate f(2) = 4, that is
4 = 2m + c ← substitute c = 2
4 = 2m + 2 ( subtract 2 from both sides )
2 = 2m ( divide both sides by 2 )
1 = m
Hence
f(x) = x + 2 ← is a possible linear function
