The graph of a function y = f(x) is shown below along with all points where the direction or concavity change. (-3,4) (8,6) (2,3) (5,-1) (8,3) (Click on the graph to enlarge it.) Based on this graph, determine all intervals where f is concave up or concave down. Express your answer as a list of comma-separated open intervals. Type NONE if there are no such intervals. f is concave up on: f is concave down on:
The graph of a function y = f(x) is shown below along with all points where the direction or concavity change. (-3,4) (8,6) (2,3) (5,-1) (8,3) (Click on the graph to enlarge it.) Based on this graph, determine all intervals where f is concave up or concave down. Express your answer as a list of comma-separated open intervals. Type NONE if there are no such intervals. f is concave up on: f is concave down on:
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...
Related questions
Question
![**HW21: Problem 3**
(1 point)
The graph of a function \( y = f(x) \) is shown below along with all points where the direction or concavity change.
(Graph Image)
Points on the graph:
- (-3, 4)
- (2, 3)
- (5, -1)
- (8, 3)
The graph appears to be a cubic curve with distinct points indicating where the concavity changes.
Based on this graph, determine all intervals where \( f \) is concave up or concave down. Express your answer as a list of comma-separated open intervals. Type NONE if there are no such intervals.
\( f \) is concave up on: __________________
\( f \) is concave down on: __________________
*Note:* You can earn partial credit on this problem.
[Preview My Answers] [Submit Answers]
You have attempted this problem 0 times.
You have unlimited attempts remaining.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf215f31-76c3-4da7-be1a-12df448bf577%2F5c5ff253-a85d-4ada-a5b2-d0f31390acd9%2Fi6p9sn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**HW21: Problem 3**
(1 point)
The graph of a function \( y = f(x) \) is shown below along with all points where the direction or concavity change.
(Graph Image)
Points on the graph:
- (-3, 4)
- (2, 3)
- (5, -1)
- (8, 3)
The graph appears to be a cubic curve with distinct points indicating where the concavity changes.
Based on this graph, determine all intervals where \( f \) is concave up or concave down. Express your answer as a list of comma-separated open intervals. Type NONE if there are no such intervals.
\( f \) is concave up on: __________________
\( f \) is concave down on: __________________
*Note:* You can earn partial credit on this problem.
[Preview My Answers] [Submit Answers]
You have attempted this problem 0 times.
You have unlimited attempts remaining.
Expert Solution

Step 1
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning