Porisma

Repeat the defining interval without losing endpoints

It is given that f(x)={3+x0<x≤2,7−x2<x≤4,f(x)=\begin{cases}3+x&0<x\le2,\\7-x&2<x\le4,\end{cases} and f(x)=f(x+4)f(x)=f(x+4) for all real xx. (i) Find f(1)f(1), f(8)f(8) and f(29)f(29). (ii) Sketch y=f(x)y=f(x) for −3<x≤8-3<x\le8.

CJC · Functions · Example 12

After your attempt

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Record confidence for 2 parts

(i) Find the three values

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(ii) Sketch on the requested interval

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Solution