Question 1 A periodic function f(x) is defined as -2x. -ASx

A periodic function nx) is defined as 2x, _f(x+2) Based on the above function, a) Sketch the graph of f(x) in range of 4 < x < 4. (3 Marks) b) From (a), determine whether the function f(r) is even, odd or neither even nor odd function. State your reason. (2 Marks) c) Determine the period, p and hence, find the Fourier series of the function (17 Marks) d) By considering in find the Fourier series expansion for (3 Marks)