Answer:
A piecewise function is a function in which more than one formula is used to define the output. Each formula has its own domain, and the domain of the function is the union of all these smaller domains. We notate this idea like this:
f
(
x
)
=
⎧
⎨
⎩
formula 1 if x is in domain 1
formula 2 if x is in domain 2
formula 3 if x is in domain 3
In piecewise notation, the absolute value function is
|
x
|
=
{
x
if
x
≥
0
−
x
if
x
<
0
Step-by-step explanation: