 Hi and welcome to the session. Let us discuss the following question. The question says find the absolute maximum value and absolute minimum value of the following functions in the given intervals. First part is fx is equal to x cube where x belongs to closed interval minus 2 2. First of all let us understand that to find the maximum or minimum value of a function in a given closed interval. First of all we will find all critical points of function f in that interval. Now we will find value of function f at all critical points and at the end points of the interval. Now identify the maximum and minimum values of function f out of the values calculated in this step. Now the maximum value of f will be the absolute maximum value of function f and the minimum value will be the absolute minimum value of function f. This is how we find out absolute maximum and absolute minimum value of function f. This is the key idea to solve the given question. Let us start the solution. We are given function f is given by fx equal to x cube where x belongs to closed interval minus 2 comma 2. Now first of all we will find out f dash x differentiating both sides with respect to x we get f dash x is equal to 3x square. Now to find critical points we will put f dash x equal to 0. This implies 3x square is equal to 0. This further implies x square is equal to 0 or simply we can say x is equal to 0. Now this completes the first step of the key idea. Now we will find value of f at x equal to 0, x equal to minus 2 and x equal to 2, f minus 2 is equal to minus 2 cube which is equal to minus 8, f0 is equal to 0 cube which is equal to 0 and f2 is equal to 2 cube which is equal to 8. Now here we have completed second step of the key idea. Now we will identify maximum and minimum value. Maximum value is given by f2 and minimum value is given by f minus 2. So we can write absolute maximum value of function f on interval minus 2, 2 is equal to 8. Absolute minimum value is equal to minus 8. So this is our required answer. This completes the session. Hope you understood the session. Keep smiling.