Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³ - 6x² - 15x + 6 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection point. (x, y) = ( - (C Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which fis concave down. (Enter your answer using interval notation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x³6x² - 15x + 6
(a) Find the interval on which fis increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(b) Find the local minimum and maximum values of f.
local minimum value
local maximum value
(c) Find the inflection point.
- (C
Find the interval on which f is concave up. (Enter your answer using interval notation.)
(x, y) = (
Find the interval on which fis concave down. (Enter your answer using interval notation.)
Transcribed Image Text:Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³6x² - 15x + 6 (a) Find the interval on which fis increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection point. - (C Find the interval on which f is concave up. (Enter your answer using interval notation.) (x, y) = ( Find the interval on which fis concave down. (Enter your answer using interval notation.)
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