Number
Question
Answer
See the work
1.
Find the one critical
number of the function 37/15
The work Point Cost: 2
2.
There are two critical numbers for the function . The smaller one equals:
and the larger one equals:
Smaller one: 3
Larger one: 8
The work Point Cost: 2
3.
Find all critical values for the function:
List of critical numbers: Two critical values: (1) -1.05409255338946 (2) 1.05409255338946
The work Point Cost: 2
4.
Find critical number of the function
x= x=
The work Point Cost: 2
5.
The critical numbers of the function

are
and with .
= -2
= 0
The work Point Cost: 2
6.
Consider the function .
The absolute maximum value is
and this occurs at equals
The absolute minimum value is
and this occurs at equals absolute maximum value: 5
occurs at x= 0
absolute minimum value: -91
occurs at x: -4
The work Point Cost: 2
7.
Consider the function .
This function has an absolute minimum value equal to
and an absolute maximum value equal to absolute minimum value: -241 absolute maximum value: 1090
The work Point Cost: 3
8.
Consider the function . The absolute maximum of (on the given interval) is
and the absolute minimum of (on the given interval) is absolute maximum: 189 absolute minimum: 7.5
The work Point Cost: 2
9.
Consider the function .
This function has an absolute minimum value equal to
and an absolute maximum value equal to absolute minimum: -2390 absolute maximum: 28586
The work Point Cost: 3
10.
Find the
absolute maximum and absolute minimum values of the function

on each of the indicated intervals.
Enter 'NONE' for any absolute extrema that does not exist.
(A) Interval = [1, 4].
Absolute maximum =
Absolute minimum =
(B) Interval = [1,8].
Absolute maximum =
Absolute minimum =
(C) Interval = [4,9].
Absolute maximum =
Absolute minimum =
(A)
Absolute maximum = 9
Absolute minimum = -127.69
(B)
Absolute maximum = 16
Absolute minimum = -127.69
(C)
Absolute maximum = 73
Absolute minimum = -72
The work Point Cost: 3
11.
Consider the function
This function has an absolute minimum value equal to:
which is attained at x=
and an absolute maximum value equal to:
which is attained at x=

absolute minimum value:
x value: absolute maximum value: 0 x value: 0
The work Point Cost: 2
12.
Consider the function
This function has an absolute minimum value equal to:
which is attained at x=
and an absolute maximum value equal to:
which is attained at x= absolute minimum: 0 x= 0 absolute maximum: x= 1/3
The work Point Cost: 2
13.
Find the
absolute maximum and absolute minimum values of the function

on each of the indicated intervals.
(A) Interval = [-2, 0].
Absolute maximum =
Absolute minimum =
(B) Interval = [1, 10].
Absolute maximum =
Absolute minimum =
(C) Interval = [-2, 10].
Absolute maximum =
Absolute minimum =
(A)
Absolute maximum: 16
Absolute minimum: 0
(B)
Absolute maximum: -36
Absolute minimum: -484
(C)
Absolute maximum: 16
Absolute minimum: -484
The work Point Cost: 3
14.
Find the
absolute maximum and absolute minimum values of the function

on the interval [-2,15].
Absolute maximum =
Absolute minimum = Absolute maximum = 150
Absolute minimum = -332/3
The work Point Cost: 3
15.
Find the
absolute maximum and absolute minimum values of the function

on the interval [1,6].
Absolute maximum =
Absolute minimum = Absolute maximum = -14.703 Absolute minimum = -21
The work Point Cost: 2
16.
Find the x-coordinate of the
absolute maximum and absolute minimum for the function

x-coordinate of absolute maximum =
x-coordinate of absolute minimum = x-coord of maximum: none x-coord of minimum: The work Point Cost: 2
17.
Find the x-coordinate of the
absolute minimum for the function

x-coordinate of absolute minimum =
x-coord of minimum: 90.02
The work Point Cost: 2
18.
Find the x-coordinate of the
absolute minimum for the function

x-coordinate of absolute minimum =
x-coord of minimum: 4
The work Point Cost: 2