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...
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**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.

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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.
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