A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?
A
y = \(\frac{3x^2}{2}\) + 2x
B
y = (3x2)/2 + x
C
y = 3x2 + (x/2)
D
y = 3x2 +2x
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Hints:
1. Integrate the given first derivative of f(x) at the boundaries, (0,0)
Then solve accordingly to get f(x) = y = \(\frac{3x^2}{2}\) + 2x
Source: Myschool Past Questions Archive (Record #1110)