Giving the following periodic sgnal of period T 4 answer by

Giving the following periodic sgnal of period T = 4 (answer by inspection)

Solution

1.) Given function is an ODD function as it can be observed from give fig. that it is symmetrical about origin i.e. if u place a mirror around origin it will complete the plot..A function is ODD them it is symmetrical about origin.A functon is Even when it is symmetrical about y-axis.

2.) Average value of an odd function is always zero.It can be observed from given fig. the garph above the x-axis is same in magnitude as it is below x-axis but opposite in sign.So net average value will be summition of both parts which will result in zero.