Complete the equation for the piecewise function graphed below.
{
if
−
6
≤
x
≤
−
2
\displaystyle -{6}\le{x}\le-{2}
−
6
≤
x
≤
−
2
f
(
x
)
=
\displaystyle {f{{\left({x}\right)}}}=
f
(
x
)
=
{
3
\displaystyle {3}
3
if
−
2
<
x
≤
3
\displaystyle -{2}<{x}\le{3}
−
2
<
x
≤
3
{
−
1
⋅
(
x
−
3
)
+
3
−
1
\displaystyle -{1}\cdot{\left({x}-{3}\right)}+{3}-{1}
−
1
⋅
(
x
−
3
)
+
3
−
1
if
3
<
x
≤
6
\displaystyle {3}<{x}\le{6}
3
<
x
≤
6
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