Suppose $f(x)=x^3+ ax^2 + bx +c$ . Now a,b,c are chosen respectively by throwing a dice 3 times. Now find the Probability that $f(x)$ is a increasing function ?
MY APPROACH :
i really have given a lot thought to it but i have no clue. i cant find even the first step towards solving the problem . Didnt understand what they meant by saying
f(x) is a increasing function. when a function becomes an increasing function? what are the conditions of that ? and what is the solution of this question?