Continuous for all real numbers f'(x) < 0 on (-0, –6) and (1, 3) f'(x) > 0 on (-6, 1) and (3, ∞) f"(x) > 0 on (-∞, –6) and (3, ∞ f"(x) < 0 on (-6, 3) A y-intercept at (0, 2)

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
Question

Sketch the graph of the single function that has all of the properties listed below. 

Continuous for all real numbers
f'(x) < 0 on (-0∞, -6) and (1, 3)
f'(x) > 0 on (-6, 1) and (3, ∞)
f"(x) > 0 on (-∞, –6) and (3, ∞)
f"(x) < 0 on (-6, 3)
A y-intercept at (0, 2)
Transcribed Image Text:Continuous for all real numbers f'(x) < 0 on (-0∞, -6) and (1, 3) f'(x) > 0 on (-6, 1) and (3, ∞) f"(x) > 0 on (-∞, –6) and (3, ∞) f"(x) < 0 on (-6, 3) A y-intercept at (0, 2)
Expert Solution
Basic

Calculus homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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