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Draw the graph of the modulus function, ...

Draw the graph of the modulus function, defined by
`f:RtoR:f(x)=|x|={{:(x",when "xge0),(-x",when "xlt0):}`

Text Solution

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We have

On a graph paper draw the horizontal line X' OX as the x-axis and the vertical line YOY' as the y-axis.
Take the scale: 10 small divisions = 1 unit.
On this graph paper, plot the points A(-3,3), B(-2,2), C(-1,1), O(0,0), D(1,1), E(2,2), F(3,3) and G(4,4).
Join these points successively to obtain the graph lines ABCO and ODEFG, as shown below.
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