Question

Which option represents the piecewise function of the graph?
-2< x<-1
-1<x<1
-2x, 1<x <2
12a、2＜さく4
Option +2:g ) =
* = 2
2x,
2<x <4
(-2x, -2<x<—1
Option #3: f(x) =
2
-1<x<1
2x,
1<x<2
(1 point)
Option #
is the correct equation for the piecewise graph.

Answer 1

Option #3.

f(x) = { -2x, -2 < x < -1
2, -1 < x < 1
2x, 1 < x < 2 }

Reason: on the left interval y = -2x runs from y = 4 at x = -2 down to y = 2 at x = -1; the middle segment is constant y = 2 for -1<x<1; the right segment y = 2x runs from y = 2 at x = 1 up to y = 4 at x = 2 — exactly matching the three pieces of the graph.