Draw the graph of $y = \mid x \mid + 2$.

Given:

Given equation is $y = \mid x \mid + 2$.

To do:

We have to draw the graph of $y = \mid x \mid + 2$.

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.

$y = x + 2$

If $x=0$, then $y=0+2=2$

If $x=1$, then $y=1+2=3$

If $x=-2$, then $y=-2+2=0$

Plot the points $(-2, 0), (0, 2)$ and $(1, 3)$ 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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