2. Graph the function f (x)= x+ Vlx\ . Zoom in repeatedly, first toward the point (-1, 0) and then toward the origin. What is different about the behavior of f in the vicinity of these two points? What do you conclude about the differentiability of f?
2. Graph the function f (x)= x+ Vlx\ . Zoom in repeatedly, first toward the point (-1, 0) and then toward the origin. What is different about the behavior of f in the vicinity of these two points? What do you conclude about the differentiability of f?
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
Answer 2 and 3
![a At what numbers is g discontinuous? Justify your answer.
b. At what numbers is g not differentiable? Justify your answer.
2. Graph the function f (x)= x+ Vx] . Zoom in repeatedly, first toward the point (-1, 0)
and then toward the origin. What is different about the behavior of fin the vicinity of
these two points? What do you conclude about the differentiability of f?
3. Zoom in toward the points (1, 0), (0, 1), and (-1, 0) on the graph of the function
2.
g(x) = (x-1)3. What do you notice? Account for what you see in terms of
differentiability of g.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6904ba70-4e94-4f8a-8ada-c1aff101d423%2F0bcd35e2-d9ab-40a3-9c58-b6ae090c8eb3%2Ffesh4l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a At what numbers is g discontinuous? Justify your answer.
b. At what numbers is g not differentiable? Justify your answer.
2. Graph the function f (x)= x+ Vx] . Zoom in repeatedly, first toward the point (-1, 0)
and then toward the origin. What is different about the behavior of fin the vicinity of
these two points? What do you conclude about the differentiability of f?
3. Zoom in toward the points (1, 0), (0, 1), and (-1, 0) on the graph of the function
2.
g(x) = (x-1)3. What do you notice? Account for what you see in terms of
differentiability of g.
Transcribed Image Text:Evaluate the following problems. Show all necessary parts of the solutions.
1. The graph of g is given.
10
1
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