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Mathematics
Mathematics
Problem
The function
s
(
x
)
s(x)
s
(
x
)
is defined by
s
(
x
)
=
{
−
1
,
x
<
0
0
,
x
=
0
1
,
x
>
0
s(x)=\begin{cases}-1,& x<0\\0,& x=0\\1,& x>0\end{cases}
s
(
x
)
=
⎩
⎨
⎧
−
1
,
0
,
1
,
x
<
0
x
=
0
x
>
0
Which parent function does
s
(
x
)
s(x)
s
(
x
)
represent? a) Modulus function
∣
x
∣
|x|
∣
x
∣
b) Unit step (Heaviside) function
u
(
x
)
u(x)
u
(
x
)
c) Signum function
sgn
(
x
)
\operatorname{sgn}(x)
sgn
(
x
)
d) Greatest integer (floor) function
⌊
x
⌋
\lfloor x \rfloor
⌊
x
⌋
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