3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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a. Find all critical numbers (x-coordinates) of f(x).
b. Find increasing / decreasing intervals of f(x).
Find local Maxima and minima of f(x).
d. Find intervals for concave up / down of f(x).
e. Find the r-coordinate of the inflection point of f(x).
3. Find the absolute maximum and absolute minimum of f(x) = 2x³3 - 6x +1 on [0,3].
1
4. Consider the function f(x) = ²1
C.
a.
Find the intervals f is increasing.
Find the intervals f is decreasing.
Find local maximum(s)/minimum(s), and give x-values at that time.
d. Find the intervals f is concave up.
Find the intervals f is concave down.
b.
C.
e.
2.
if f has
Transcribed Image Text:a. Find all critical numbers (x-coordinates) of f(x). b. Find increasing / decreasing intervals of f(x). Find local Maxima and minima of f(x). d. Find intervals for concave up / down of f(x). e. Find the r-coordinate of the inflection point of f(x). 3. Find the absolute maximum and absolute minimum of f(x) = 2x³3 - 6x +1 on [0,3]. 1 4. Consider the function f(x) = ²1 C. a. Find the intervals f is increasing. Find the intervals f is decreasing. Find local maximum(s)/minimum(s), and give x-values at that time. d. Find the intervals f is concave up. Find the intervals f is concave down. b. C. e. 2. if f has
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