I've been doing revision for yearlies and I've been having difficulties figuring out these questions:
1) Sketch the graph of the periodic function such that f(x) = x for – 1 < x ≤ 1 where the period of f(x) is 2.
2) Find the largest possible domain and range of the function f(t) = abs(t) – t.
3) If f(x) = x^2 – 6x + 5, sketch a graph of the region defined by the intersection of the inequalities f(x) + f(y) ≤ 0 and f(x) – f(y) ≥ 0.
Could you please help me out?