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

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Answer 1 · 2018-07-24T01:12:14

See graph and explanation.

Piecewise,

$x - abs x = x - x = 0, x >=0$ and

= x - (-x) = 2x, x <= 0#.

So, the graph is the radial line from O in $Q_3$ that is truncated

from y = 2x and x-axis, $x>=0$ . See the obtuse-angle graph.

graph{y-x+abs x=0}

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