 Hi and welcome to the session. Let us discuss the following question. Question says, find the maximum and minimum values if any of the following functions given by fx equal to modulus of x plus 2 minus 1. First of all, let us understand that if we are given a function f defined on interval i, then if there exists a point c in interval i such that fc is greater than equal to fx for all x belonging to interval i, then number fc is the maximum value of f in interval i and if there exists c in interval i such that fc is less than equal to fx for all x belonging to interval i, then fc is the minimum value of function f in interval i. This is the pre-idea to solve the given question. Let us now start the solution. We are given fx is equal to modulus of x plus 2 minus 1. Now we know modulus of x plus 2 is greater than equal to 0 for every x belonging to real numbers. Now subtracting 1 from both sides, we get modulus of x plus 2 minus 1 is greater than equal to 0 minus 1 for every x belonging to R. Now this further implies fx is greater than equal to minus 1. We know this expression is equal to fx. So fx is greater than equal to minus 1 for every x belonging to R. Now we can write it as minus 1 is less than equal to fx for every x belonging to real numbers R. Now comparing these two expressions we get fc equal to minus 1 for every x belonging to real numbers. So we get minus 1 is the minimum value of function f in interval R. So we can write minus 1 is the minimum value of function f in real numbers. So our required answer is function f has minimum value equal to minus 1 and it has no maximum value. This completes the session. Hope you understood the session. Goodbye.