10 & 16 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimum values of f. (c) Find the intervals of concavity and the inflection points. 10. f(x) = 2x³-9x² + 12x-3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 63E
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Number 10

(D)
what values of x does f have a local maximum or minin
10 & 16
(a) Find the intervals on which f is increasing or decreasing.
(b) Find the local maximum and minimum values of f.
(c) Find the intervals of concavity and the inflection points.
10. f(x) = 2x³-9x² + 12x-3
16. f(x) = x² ln(x)
30. Sketch a graph of a function which satisfies all the given conc
that satisfies the following conditions.
f'(0) = f'(4) = 0, f'(x) = 1 if x < -1,
f'(x) > 0 if 0 < x < 2,
f'(x) < 0 if (-1,0) U (2,4) U (4, ∞0),
lim_ f'(x) = ∞o, lim f(x) = ∞,
x-2-
f"(x) > 0 if (-1,2) U (2,4)
f(x) < 0 if x>4
Transcribed Image Text:(D) what values of x does f have a local maximum or minin 10 & 16 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimum values of f. (c) Find the intervals of concavity and the inflection points. 10. f(x) = 2x³-9x² + 12x-3 16. f(x) = x² ln(x) 30. Sketch a graph of a function which satisfies all the given conc that satisfies the following conditions. f'(0) = f'(4) = 0, f'(x) = 1 if x < -1, f'(x) > 0 if 0 < x < 2, f'(x) < 0 if (-1,0) U (2,4) U (4, ∞0), lim_ f'(x) = ∞o, lim f(x) = ∞, x-2- f"(x) > 0 if (-1,2) U (2,4) f(x) < 0 if x>4
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