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Question

Draw the graph of the modulus function, defined by

f:RR:f(x)=|x|={x, when x0x, when x<0


Solution

We have

x32101234f(x)=|x|32101234

On a graph paper draw the horizontal line XOX 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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