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

$\mathrm{f}\left( x \right)=\left\{ \begin{matrix}
\left| x \right|\mathrm{ for -1}&lt;x\le 2, \\
1\mathrm{ for 2}&lt;x\le 4, \\
\end{matrix} \right.$

and that $\mathrm{f}\left( x+5 \right)=\mathrm{f}\left( x \right)$ for all real values of $x$.

Find the values of $\mathrm{f}\left( -1 \right)$ and $\mathrm{f}\left( -3 \right)$.

Sketch the graph of $y=\mathrm{f}\left( x \right)$ for $-5 < x < 5$.

Modulus Functions

Functions

H2 Math

International Baccalaureate Higher Level Mathematics

2022 VJC J1 MYE Q3

2022 VJC J1 MYE Q3

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