Porisma

Reduce periodic inputs and sketch a complete finite window

It is given that

f(x)={7−x2for 0<x≤2,2x−1for 2<x≤4f(x)=\begin{cases}7-x^2&\text{for }0<x\leq2,\\2x-1&\text{for }2<x\leq4\end{cases}

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

(i) Evaluate f(27)+f(45)f(27)+f(45). [2]

(ii) Sketch the graph of y=f(x)y=f(x) for −7≤x≤10-7\leq x\leq10. [3]

[N2009/I/4 (i), (ii)]

CJC · Review Problems · Question 7

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