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Mathematics
Mathematics
Problem
Which of the following correctly gives the piecewise definition of the function
f
(
x
)
=
∣
x
−
2
∣
f(x)=|x-2|
f
(
x
)
=
∣
x
−
2∣
? a)
{
x
−
2
,
x
<
2
2
−
x
,
x
≥
2
\begin{cases}x-2,& x<2\\ 2-x,& x\ge 2\end{cases}
{
x
−
2
,
2
−
x
,
x
<
2
x
≥
2
b)
{
2
−
x
,
x
<
2
x
−
2
,
x
>
2
\begin{cases}2-x,& x<2\\ x-2,& x>2\end{cases}
{
2
−
x
,
x
−
2
,
x
<
2
x
>
2
c)
{
2
−
x
,
x
≤
2
x
−
2
,
x
>
2
\begin{cases}2-x,& x\le 2\\ x-2,& x>2\end{cases}
{
2
−
x
,
x
−
2
,
x
≤
2
x
>
2
d)
{
x
−
2
,
x
≤
2
2
−
x
,
x
≥
2
\begin{cases}x-2,& x\le 2\\ 2-x,& x\ge 2\end{cases}
{
x
−
2
,
2
−
x
,
x
≤
2
x
≥
2
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