Black Book | Functions | Q48 | JEE | Single Choice Problem

Is f(x) = x³ + x² + 3x + sinx one-one, onto, both or neither? Prove it's strictly increasing with a derivative argument. #OneOne #Onto #Derivative. 0:00 Defining the function f(x) 0:41 Calculating the derivative f'(x) 1:32 Analyzing the quadratic and sinusoidal parts 2:46 Finding the minimum value of the quadratic 5:03 Determining the minimum value of f'(x) 6:11 Proving the function is strictly increasing 7:04 Verifying one-one and onto nature 7:38 Final conclusion and correct option