Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The function
f
f
f
is defined piecewise by
f
(
t
)
=
{
t
+
1
,
−
2
≤
t
≤
0
,
t
2
,
0
<
t
≤
3.
f(t)=\begin{cases} t+1, & -2\le t\le 0,\\ t^{2}, & 0<t\le 3. \end{cases}
f
(
t
)
=
{
t
+
1
,
t
2
,
−
2
≤
t
≤
0
,
0
<
t
≤
3.
Let
g
(
x
)
=
∫
−
2
x
f
(
t
)
d
t
g(x)=\int_{-2}^{x} f(t)\,dt
g
(
x
)
=
∫
−
2
x
f
(
t
)
d
t
. What is the absolute maximum value of
g
g
g
on the closed interval
[
−
2
,
3
]
[-2,3]
[
−
2
,
3
]
? a)
7.5
7.5
7.5
b)
4.5
4.5
4.5
c)
9
9
9
d)
10
10
10
Browse the problem library