f (t) = {−t − π for −π ≤ t < 0,          {−π  for 0 ≤ t < π, f (t + 2π) = f (t). a. Sketch the graph of the function f for −3π ≤ t ≤ 3π, and hence state whether the function is even, odd, or neither even nor odd.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the periodic function f(t) with fundamental interval −π ≤ t ≤ π that is defined by:

f (t) = {−t − π for −π ≤ t < 0,

         {−π  for 0 ≤ t < π,

f (t + 2π) = f (t).

a. Sketch the graph of the function f for −3π ≤ t ≤ 3π, and hence state whether the function is even, odd, or neither even nor odd.

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