
In a series LCR circuit, the circuit behaves capacitively when the capacitive reactance \( X_C \) is greater than the inductive reactance \( X_L \). This occurs when the frequency reaches the point where \( X_C \) exceeds \( X_L \), which is shown at point \( C \) in the graph. Thus, the circuit becomes capacitive at frequency point \( C \).
Find output voltage in the given circuit. 
Match the following:
In the following, \( [x] \) denotes the greatest integer less than or equal to \( x \). 
Choose the correct answer from the options given below:
For x < 0:
f(x) = ex + ax
For x ≥ 0:
f(x) = b(x - 1)2