Homework Help is Here – Start Your Trial Now!
Math
Calculus
-5 -4 -3 -2 -1 الا 4 3 2 1 3 4 -2- -3 O 23 Select all the points at which the graph above is not differentiable -4 -3 0-2 -1 0 1 2

-5 -4 -3 -2 -1 الا 4 3 2 1 3 4 -2- -3 O 23 Select all the points at which the graph above is not differentiable -4 -3 0-2 -1 0 1 2

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question

Help please. I do not really understand this practice question 

The graph depicted is a piecewise function with various segments, including linear and curved parts. It features points and segments of interest: 1. A cusp appears at \(x = -3\). 2. A gap or jump in the graph at \(x = 1\), indicated by an open circle at \((1, 2)\) and a closed circle at \((1, 4)\). Task: - **Select all the points at which the graph is not differentiable:** - [ ] -4 - [x] -3 - [ ] -2 - [ ] -1 - [ ] 0 - [x] 1 - [ ] 2 - [ ] 3 - [ ] 4 The points where the graph is not differentiable are typically those with cusps, corners, or discontinuities.
Transcribed Image Text:The graph depicted is a piecewise function with various segments, including linear and curved parts. It features points and segments of interest: 1. A cusp appears at \(x = -3\). 2. A gap or jump in the graph at \(x = 1\), indicated by an open circle at \((1, 2)\) and a closed circle at \((1, 4)\). Task: - **Select all the points at which the graph is not differentiable:** - [ ] -4 - [x] -3 - [ ] -2 - [ ] -1 - [ ] 0 - [x] 1 - [ ] 2 - [ ] 3 - [ ] 4 The points where the graph is not differentiable are typically those with cusps, corners, or discontinuities.
Expert Solution
Step 1: concept

A function is non-differentiable when there is a corner point in its graph.


If the function is not continuous then it is not differentiable, i.e. when there is a gap or a jump in the graph of the function then it is not continuous hence not differentiable.

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS