Answer:
f(x) = x + 2
Step-by-step explanation:
The standard form of a linear function is
f(x) = ax + b
Given f(0) = 2 ( that is when x = 0 , f(x) = 2 ) , then
2 = a(0) + b = b ⇒ b = 2
Given f(2) = 4 ( that is when x = 2, f(x) = 4 ) , then
4 = 2a + b = 2a + 2 ( subtract 2 from both sides )
2 = 2a ( divide both sides by 2 )
1 = a
Linear function is then f(x) = x + 2
