 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that Determine from graphs whether the displayed functions are even or odd and here is the first graph and this is the second graph. We know that if the function is symmetric about y axis then the function is even function. Algebraically we have f of minus x is equal to f of x that is for every point xy on the curve point minus xy is also on the curve and if the function is symmetric about origin then the function is odd and algebraically f of minus x is equal to minus of f of x that is for every point with coordinates xy line on the curve point with coordinates minus x minus y is also on the curve. With this key idea we proceed to the solution. In this question we have to determine from graphs whether the given functions are even or odd. Let us see the first graph. Here we can see that for every point xy on the curve point with coordinates minus x minus y is also on the curve. For example if point with coordinates minus 5 1 is on the curve then point with coordinates 5 minus 1 is also on the curve. So we have f of minus x is equal to minus of f of x. From the key idea we know that if the function is symmetric about origin then the function is odd and we have f of minus x is equal to minus of f of x. Here we have seen that the graph is symmetric about origin so it is an odd function. Now let us see the graph of second function. Here we can see that for every point with coordinates xy on the curve the point with coordinates minus xy is also on the curve. For example if point with coordinates 1, 6 is on the curve then point with coordinates minus 1, 6 is also on the curve. So we have f of minus x is equal to f of x and from the key idea we know that if the function is symmetric about y axis then the function is even function and we have f of minus x is equal to f of x. Thus we have seen that the graph is symmetric about y axis so it is an even function. So we have seen that graph 1 is of odd function and graph 2 is of even function. This is the required answer. This completes our session. Hope you enjoyed this session.