nsider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 – 6x2 – 15x + 3 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (-x, – 1) U ( 5,00) 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 -97 local maximum value 11 (c) Find the inflection point. (x, y) = ( 2, – 43 ) Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) %3D х3 — бх2 — 15х + 3
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
(-x, – 1) U (5,00)
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
-97
local maximum value
11
(c) Find the inflection point.
(х, у) %3D
2, – 43
Find the interval on which f is concave up. (Enter your answer using interval notation.)
Find the interval on which f is 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) %3D х3 — бх2 — 15х + 3 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (-x, – 1) U (5,00) 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 -97 local maximum value 11 (c) Find the inflection point. (х, у) %3D 2, – 43 Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.)
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