Question

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

Answer 1

See graph and explanation.

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}