It is given that $\mathrm{f}\left( x \right)=\left\{ \begin{matrix} \left| x \right|\mathrm{ for -1}

Question

It is given that $\mathrm{f}\left( x ight)=\left\{ \begin{matrix} \left| x ight|\mathrm{ for -1}<x\le 2, \ 1\mathrm{ for 2}<x\le 4, \ \end{matrix} ight.$ and that $\mathrm{f}\left( x+5 ight)=\mathrm{f}\left( x ight)$ for all real values of $x$. Find the values of $\mathrm{f}\left( -1 ight)$ and $\mathrm{f}\left( -3 ight)$. [2] Sketch the graph of $y=\mathrm{f}\left( x ight)$ for $-5 [4]

Accepted Answer

$\mathrm{f}\left( -1 \right)=1$; $\mathrm{f}\left( -3 \right)=2$

2022 VJC J1 MYE Q3

2022 VJC J1 MYE Q3

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