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A periodic piecewise function

It is given that

g(x)={3,0<x≤2,5−x,2<x≤4,g(x)=\begin{cases}3,&0<x\leq2,\\5-x,&2<x\leq4,\end{cases}

and that g(x)=g(x+4)g(x)=g(x+4) for all real values of xx.

(i) Find g(3)g(3), g(8)g(8) and g(101)g(101).

(ii) Sketch the graph of y=g(x)y=g(x) for −2<x≤8-2<x\leq8.

CJC · Functions · Discussion 5 · 2025

Reduce inputs to the defining interval (0,4], preserving which end is included.

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