Draw the graph of $y = \mid x \mid$.

Given:

$y = \mid x \mid$.

To do:

We have to draw the graph of $y = \mid x \mid$.

Solution:

We know that,

$\mid x \mid = x$ if $x>0$

$=0$ if $x=0$

$=-x$ if $x

To represent the above equation graphically we need at least two solutions for the given equation.

$y=x$

If $y=0$, then $x=0$

If $y=1$, then $x=1$

If $y=-1$, then $x=-1$

Plot the points $(0, 0), (-1, -1)$ and $(1, 1)$ on the graph and join them to get the graph of the given equation.

The above situation can be plotted graphically as below:

Tutorialspoint

Updated on: 10-Oct-2022

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