How do you graph $y = | x | - x$ $y = abs x - x$ ?

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Answer 1 · 2015-05-03T12:31:28

$y = | x | - x$ $y=abs(x)-x$

If $x < 0$ $x<0$
$y = | x | - x$ $y=abs(x)-x$
$\equiv y = - 2 x$ $-= y = -2x$
$\equiv y = 2 | x |$ $-= y = 2abs(x)$

If $x \geq 0$ $x>=0$
$y = | x | - x$ $y = abs(x)-x$
$\equiv y = 0$ $-= y = 0$

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How do you graph y = abs x - xy=|x|−xy = abs x - x?