Question

Find the absolute maximum and minimum values of **f(x)=
−x^3−3x^2+4x+3**, if any, over the interval
**(−∞,+∞)(−∞,+∞)**.

I know it doesn't have absolute maxima and minima but where do they occur? In other words x= ? for the maxima and minima?

Answer #1

Find the absolute maximum and minimum values of the following
function over the indicated interval, and indicate the x-values
at which they occur.
f(x)=1/3x^3+3/2x^2-4x+4 [-5,3]

Let f (x) = 3x^4 −4x^3 −12x^2 + 1, deﬁned on R.
(a) Find the intervals where f is increasing, and decreasing.
(b) Find the intervals where f is concave up, and concave
down.
(c) Find the local maxima, the local minima, and the points of
inflection.
(d) Find the Maximum and Minimum Absolute of f over [−2.3]

Find the absolute maximum and minimum values of the function
over the indicated interval, and indicate the x-values at which
they occur.
f(x)=3x/x^2+9 ; [-8,8]
The absolute maximum value is___ at x=____

Find the absolute maximum and minimum values of each function
over the indicated interval, and indicate the x-values at which
they occur.
f(x) = 3x^3 - 3x^2 - 3x + 7 ; [-1 , 0]
The absolute maximum value is _ at x = _
(Use a comma to separate answers as needed. Type an integer or
a fraction.)

Find the absolute maximum and minimum values of the following
function over the given interval. If there are multiple points in a
single category list the points in increasing order in x value and
enter N in any blank that you don't need to use.
f(x)=(4cosx)/(14+7sinx), 0≤x≤2π
Absolute maxima
x = y =
x = y =
x = y =
Absolute minima
x = y =
x = y =
x = y =

Find the absolute maximum and absolute minimum values of f on
the given interval. f(x) = 3x^2 − 18x + 8, [0, 8] absolute minimum
value.

Find the absolute maximum and minimum values of the following
function on the given interval. If there are multiple points in a
single category list the points in increasing order in x value and
enter N in any blank that you don't need to use. f(x)=3(x2−1)3,
[−1,2]
Absolute maxima
x = y =
x = y =
x= y =
Absolute minima
x = y =
x = y =
x = y =

Let f(x)=4x(^3)-9x(^2)+6x-1 Find:
a.) absolute minimum of f(x) on the interval [0,1].
b.) absolute maximum of f(x) on the interval [0,1].

(a) Find the maximum and minimum values of f(x) = 3x 3 − x on
the closed interval [0, 1] by the following steps:
i. Observe that f(x) is a polynomial, so it is continuous on the
interval [0, 1].
ii. Compute the derivative f 0 (x), and show that it is equal to
0 at x = 1 3 and x = − 1 3 .
iii. Conclude that x = 1 3 is the only critical number in...

Find the absolute maximum and minimum values of the function
over the indicated interval, and indicate the x-values at which
they occur.
f(x)=(x+3)2/3−5 ; [-5,6]
The absolute maximum value is ___ at x=___
(Round to two decimal places as needed. Use a comma to separate
answers as needed.)

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