Question

What is the absolute max of f(x) = x^3-3x^2 -9x + 1 over the range of [0,4]

Answer #1

Determine the absolute maximum and minimum of the function h (x)
= 3x^3−9x^2 + 5x + 2 on the interval [−1, 2]. Check the Mean Value
Theorem for the function h (x)

Given: f(x) = x^3-3x^2 -9x + 1 which (if any) of the following
statements are true?
a)f(x) has one relative max point
b) f(x) has one relative min point
c) f(x) has one inflection point
d) f(x) is increasing for all x > 0
e) f(x) is concave down at x = 2
f) f(x) crosses the vertical y axis twice
g) The graph of f '' is a parabola

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].

Find the absolute maximum and minimum values of f (x) = x^3 −
6x^2 + 9x + 1 on [1, 6]

1. The absolute maximum value of f(x) = x 3 − 3x 2 + 12 on the
interval [−2, 4] occurs at x =? Show your work.
2.t. Let f(x) = sin x + cos2 x. Find the absolute maximum, and
absolute minimum value of f on [0, π]. Show your work.
Absolute maximum:
Absolute minimum:
3.Let f(x) = x √ (x − 2). The critical numbers of f are_______.
Show your work.

what is the absolute max and min
f(x) = x + e^-2x
[-1 , 3]

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?

find absolute max and min
f(x)= ln(x^3 -2x^2 +x) [1/4, 3/4]

consider the function
f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and
f''(x)=-10x^2-9x+5/(x^2+1)^5/2
a) find the local maximum and minimum values. Justify your
answer using the first or second derivative test . round your
answers to the nearest tenth as needed.
b)find the intervals of concavity and any inflection points of
f. Round to the nearest tenth as needed.
c)graph f(x) and label each important part (domain, x- and y-
intercepts, VA/HA, CN, Increasing/decreasing, local min/max values,
intervals of concavity/ inflection points of f?

A.) Find the range of f(x) = 2x+1/x-3 show all workings. B.)
Find the range f(x)=3x-2/x-5 show all workings C.) find the range
of f(x)=1+√x+2

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