The graph of a trigonometric function f satisfies the following properties:
• Amplitude =2.
• Period =π.
• The graph passes through the origin (0,0) and is increasing there.
(a) Write an explicit algebraic expression for f(x) in its simplest form.
(b) Sketch the graph of f(x) for two complete periods, i.e. for 0≤x≤2π.
(c) Using the graph or otherwise, state the range of f.