isi-entrance None Q7

isi-entrance · India · subjective_collection Curve Sketching Sketching a Curve from Analytical Properties
Draw the graph (on plain paper) of $f(x) = \min\{|x|-1, |x-1|-1, |x-2|-1\}$.
$y = |x| - 1 = \begin{cases} x-1, & x \geq 0 \\ -x-1, & x < 0 \end{cases}$
$z = |x-1| - 1 = \begin{cases} x-2, & x \geq 1 \\ -x, & x < 1 \end{cases}$
$w = |x-2| - 1 = \begin{cases} x-3, & x \geq 2 \\ -x+1, & x < 2 \end{cases}$
The graph is obtained by taking the minimum of these three piecewise linear functions. 
Draw the graph (on plain paper) of $f(x) = \min\{|x|-1, |x-1|-1, |x-2|-1\}$.
Paper Questions
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