Three different functions, f(x), g(x) and h(x), have the same graph on [0, 2] as shown in Figure 2.28. On separate diagrams, sketch their graphs for [–4, 4] given that

(a) f(x) is periodic with period 2;

(b) g(x) is periodic with period 4 and is even;

(c) h(x) is periodic with period 4 and is odd.

Figure 2.28

Transcribed Image Text:

y 1 0 1 1.5 2 X