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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
{
2
x
+
5
,
x
<
1
,
x
2
−
4
x
,
x
≥
1.
f(x)= \begin{cases} 2x+5, & x<1,\\ x^{2}-4x, & x\ge 1. \end{cases}
f
(
x
)
=
{
2
x
+
5
,
x
2
−
4
x
,
x
<
1
,
x
≥
1.
Which set of
x
x
x
-values must be examined to determine all relative (local) extrema of
f
f
f
? a)
{
2
}
\{2\}
{
2
}
b)
{
1
,
2
}
\{1,2\}
{
1
,
2
}
c)
{
1
}
\{1\}
{
1
}
d)
{
−
2
,
2
}
\{-2,2\}
{
−
2
,
2
}
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