2- 62 Suppose that f is a function given by { |x+ 5| x1/5 if x < -1 if – 1< x < 32 f(x) - 2х — 62 if x > 32. (a) At which x-values does f not have a limit? (b) At which x-values is f not continuous? (c) At which x-values is f not differentiable?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Suppose that f is a function given by
{.
|x + 5|
x1/5
if x < -1
f(x) =
if – 1< x < 32
2х — 62
if x > 32.
(a) At which x-values does f not have a limit?
(b) At which x-values is f not continuous?
(c) At which x-values is f not differentiable?
Transcribed Image Text:Suppose that f is a function given by {. |x + 5| x1/5 if x < -1 f(x) = if – 1< x < 32 2х — 62 if x > 32. (a) At which x-values does f not have a limit? (b) At which x-values is f not continuous? (c) At which x-values is f not differentiable?
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