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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 49PFA
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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.
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.
Evaluate the following problems. Show all necessary parts of the solutions.
1. The graph of g is given.
10
1
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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