f"(x) > 0 for 2 0 if 0 4, lim f'(x) 00, lim f'(x) -o, f"(x) >0 if-14 %3D →2+ 27. f(0) =f'(0) =f'(2) =f'(4) = f'(6) = 0, f'(x) >0 if 0 6, f"(x) >0 if 0 5, f(-x) f (x) %3D concave dow 28.Suppose f(3) = 2, f'(3) =, and f'(x) > 0 and f"(x) <0 increas ng for all x. (a) Sketch a possible graph for f. (b) How many solutions does the equation f(x) 0 have? Why? (c) Is it possible that f'(2) =? Why? 29. Suppose f is a continuous function where f(x) > 0 for all x, f(0) = 4, f'(x) > 0 if x <0 or x> 2, f'(x) <0 if 0 1, f"(x)<0 if -1 0 if ated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). ng experience. Cengage Leaming reserves the right to remove additional content at any time if subsequent rights restrictions require it.

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...
icon
Related questions
Topic Video
Question

Number 28 part C

f"(x) > 0 for 2 <x< 8
26. f'(0) =f'(4) 0, f'(x) = 1 if x < -1,
f'(x) > 0 if 0 <x <2,
f'(x) <0 if-1 <x <0 or 2<x<4 or x > 4,
lim f'(x) 00, lim f'(x) -o,
f"(x) >0 if-1<x<2 or 2 <x<4,
f"(x) <0 if x >4
%3D
→2+
27. f(0) =f'(0) =f'(2) =f'(4) = f'(6) = 0,
f'(x) >0 if 0<x<2 or 4 <x<6,
f'(x) <0 if 2 <x<4 or.x> 6,
f"(x) >0 if 0 <x<1 or 3 <x< 5,
f"(x) <0 if 1 <x<3 or x > 5, f(-x) f (x)
%3D
concave
dow
28.Suppose f(3) = 2, f'(3) =, and f'(x) > 0 and f"(x) <0
increas ng
for all x.
(a) Sketch a possible graph for f.
(b) How many solutions does the equation f(x) 0 have?
Why?
(c) Is it possible that f'(2) =? Why?
29. Suppose f is a continuous function where f(x) > 0 for all x,
f(0) = 4, f'(x) > 0 if x <0 or x> 2, f'(x) <0
if 0 <x< 2, f"(-1) f"(1) = 0,
x< -1 or x> 1, f"(x)<0 if -1 <x< 1.
(a) Can f have an absolute maximum? If so, sketch a possible
graph of f. If not, explain why.
, f"(x) > 0 if
ated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
ng experience. Cengage Leaming reserves the right to remove additional content at any time if subsequent rights restrictions require it.
Transcribed Image Text:f"(x) > 0 for 2 <x< 8 26. f'(0) =f'(4) 0, f'(x) = 1 if x < -1, f'(x) > 0 if 0 <x <2, f'(x) <0 if-1 <x <0 or 2<x<4 or x > 4, lim f'(x) 00, lim f'(x) -o, f"(x) >0 if-1<x<2 or 2 <x<4, f"(x) <0 if x >4 %3D →2+ 27. f(0) =f'(0) =f'(2) =f'(4) = f'(6) = 0, f'(x) >0 if 0<x<2 or 4 <x<6, f'(x) <0 if 2 <x<4 or.x> 6, f"(x) >0 if 0 <x<1 or 3 <x< 5, f"(x) <0 if 1 <x<3 or x > 5, f(-x) f (x) %3D concave dow 28.Suppose f(3) = 2, f'(3) =, and f'(x) > 0 and f"(x) <0 increas ng for all x. (a) Sketch a possible graph for f. (b) How many solutions does the equation f(x) 0 have? Why? (c) Is it possible that f'(2) =? Why? 29. Suppose f is a continuous function where f(x) > 0 for all x, f(0) = 4, f'(x) > 0 if x <0 or x> 2, f'(x) <0 if 0 <x< 2, f"(-1) f"(1) = 0, x< -1 or x> 1, f"(x)<0 if -1 <x< 1. (a) Can f have an absolute maximum? If so, sketch a possible graph of f. If not, explain why. , f"(x) > 0 if ated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). ng experience. Cengage Leaming reserves the right to remove additional content at any time if subsequent rights restrictions require it.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning