Question

How do you graph the piecewise function `x, if -2 < x < 2`, `2x, if x < -2`, `3x, if x > 2`?

Answer 1

The graph for the first is line segment joining (x, y) = `(-2, -4)` and (2, 4), sans the end points. The second part is the line through (-2, -6) and (-3, -9), from (-2, -6), excepting (-2, -6). ..

Explanation:

I am using y for the piecewise function.

Note the break and change of slope, from 2 to 3, at the point of discontinuity, at `x = -2`.

The definition for y for (another point of discontinuity ) x > 2 is missing. Yet, for any similar definition, the method is same..