Question

1. Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)

* g*(

maximum =

minimum=

2. Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)

f(x) = x^{2} − x − 3 on [0, 3]

3.

Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)

f(x) = 4x − 9/x on [9, 11]

maximum =

minimum=

4.

Answer #1

Please do like.

1. Find the absolute maximum value and the absolute minimum
value,if any, of each function.
(a) f(x) = -x2+ 4x + 6 on [0, 5]
(b) g(x)= x+1 / x−1 on [2, 4]

Find the absolute maximum value and the absolute minimum value,
if any, of the function. (If an answer does not exist, enter DNE.)
g(t) = t/ t − 6 on [8, 10]
maximum =
minimum=

Find the absolute maximum and absolute minimum values, if any,
of the function. (If an answer does not exist, enter DNE.)
h(x) = x3 + 3x2 + 3 on [−3, 2]
absolute maximum ______
absolute minimum _______

Find the absolute maximum and minimum values on the closed
interval [-1,8] for the function below. If a maximum or minimum
value does not exist, enter NONE.
f(x) = 1 − x^2/3
Find the absolute maximum and absolute minimum values of the
function below. If an absolute maximum or minimum does not exist,
enter NONE.
f(x) = x3 - 12x on the
closed interval [-3,5]

Sketch the graph of f by hand and use your sketch to
find the absolute and local maximum and minimum values of
f. (If an answer does not exist, enter DNE.)
f(x) =
25 − x2
if −5 ≤ x < 0
4x − 2
if 0 ≤ x ≤ 5
absolute maximum
absolute minimum
local maximum
local minimum

1) Find the absolute maximum value and the absolute
minimum, if any, of the given function. f(x) = 2x 3 − 3x 2 − 36x +
5 on [−1, 4]
2) A manufacturer of a certain commodity has estimated
that her profit in thousands of dollars is given by the expression
−2x 2 + 14x−6 where x (in thousands) is the number of units
produced. What is the maximum profit the manufacturer could realize
on the commodity?

Find the absolute maximum value and the absolute minimum value
of the function f ( x , y ) = x 2 y 2 + 3 y on the set D defined as
the closed triangular region with vertices ( 0 , 0 ), ( 1 , 0 ),
and ( 1 , 1 ), that is, the set D = { ( x , y ) | 0 ≤ x ≤ 1 , 0 ≤ y
≤ x }...

Find the local maximum and minimum values and saddle point(s) of
the function. If you have three-dimensional graphing software,
graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f (x, y) = xy − 4x − 4y − x2 − y2

Find the absolute maximum value and the absolute minimum value
of the function f(x,y)=(1+x2)(1−y2) on the disk
D={(x,y) | x2+y2⩽1}

Find the absolute maximum and minimum values of f on
the set D.
f(x, y) =
4x + 6y −
x2 − y2 +
3,
D = {(x,
y) | 0 ≤ x ≤ 4, 0 ≤
y ≤ 5}
absolute maximum value
absolute minimum value

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