 Hi and welcome to the session. Let us discuss the following question. Question is find the maximum and minimum values if any of the following functions given by gx equal to minus modulus of x plus 1 plus 3. Let us now start the solution. We are given gx is equal to minus modulus of x plus 1 plus 3. Now we know modulus function is greater than equal to 0 for every x belonging to r that is real numbers. So, we can write modulus of x plus 1 is greater than equal to 0 for every x belonging to real numbers. This implies minus modulus of x plus 1 is less than equal to 0 for every x belonging to r. Now adding 3 on both sides we get minus modulus of x plus 1 plus 3 is less than equal to 0 plus 3 for every x belonging to real numbers. Now this implies gx is less than equal to 3 for every x belonging to real numbers. Clearly we can see this expression is equal to gx. So, we can write for it gx. Now gx is less than equal to 3 implies the maximum value of g in real numbers is 3. So, we can write maximum value of gx is 3 for every x belonging to real numbers. So, we get function g has maximum value equal to 3 and it has no minimum value. This is our required answer. This completes the session. Hope you understood the session. Goodbye.