Consider the equation below. (If an answer does not exist, enter DNE.) X x² +9 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (-3,3) f(x) = Find the interval on which fis decreasing. (Enter your answer using interval notation.) (-∞,3) U (3,∞) (b) Find the local maximum and minimum values of f. local minimum value local maximum value X (x, y) = (3, 1) 6 X X (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest (x, y) =

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...
Question
Consider the equation below. (If an answer does not exist, enter DNE.)
X
x² + 9
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
(-3,3)
f(x) =
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(-∞,3) U (3,∞) X
(b) Find the local maximum and minimum values of f.
local minimum value
local maximum value
(x, y) =
(3, 1/2)
(c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.)
(x, y) =
(x, y) =
X
Transcribed Image Text:Consider the equation below. (If an answer does not exist, enter DNE.) X x² + 9 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (-3,3) f(x) = Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-∞,3) U (3,∞) X (b) Find the local maximum and minimum values of f. local minimum value local maximum value (x, y) = (3, 1/2) (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = (x, y) = X
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what is the interval on which f is concave up and concave down?

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