Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
If
f
(
x
)
=
{
2
x
2
+
2
x
2
,
0
<
∣
x
∣
≤
2
3
,
x
>
2
f(x) = \begin{cases} 2x^2 + \frac{2}{x^2}, & 0 < |x| \le 2 \\ 3, & x > 2 \end{cases}
f
(
x
)
=
{
2
x
2
+
x
2
2
,
3
,
0
<
∣
x
∣
≤
2
x
>
2
…
Problem
If
f
(
x
)
=
{
2
x
2
+
2
x
2
,
0
<
∣
x
∣
≤
2
3
,
x
>
2
f(x) = \begin{cases} 2x^2 + \frac{2}{x^2}, & 0 < |x| \le 2 \\ 3, & x > 2 \end{cases}
f
(
x
)
=
{
2
x
2
+
x
2
2
,
3
,
0
<
∣
x
∣
≤
2
x
>
2
, then a.
x
=
1
,
−
1
x = 1, -1
x
=
1
,
−
1
are the points of global minima b.
x
=
1
,
−
1
x = 1, -1
x
=
1
,
−
1
are the points of local minima c.
x
=
0
x = 0
x
=
0
is the point of local minima d. None of the above
Browse the problem library