Directions: Determine whether the given function is a. continuous or not b. differentiable or not. Answer a. continuous or not Given Given Answer a. continuous or not 1. f(x) = 5/x - 5, at x = 2 3. p(x) = x² – 2x + 1 b. differentiable or not b. differentiable or not At all values of x for all values of x a. continuous or not a. continuous or not x+ 2 ;x<-4 4. f(x) b. differentiable or not -x – 6 ;x>-4 b. differentiable or not At x =- 4

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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Determine if each item is continuous or not and differentiable or not.

Directions: Determine whether the given function is a. continuous or not b. differentiable or not.
Answer
a. continuous or not
Given
Given
Answer
a. continuous or not
1. f(x) = 5/x - 5, at x = 2
3. p(x) = x? – 2x +1
b. differentiable or not
b. differentiable or not
At all values of x
for all values
a. continuous or not
a. continuous or not
of x
x+ 2 ;x<-4
2.
4. f(x) =
b. differentiable or not
-х — 6 ; х >-4
b. differentiable or not
At x = - 4
Transcribed Image Text:Directions: Determine whether the given function is a. continuous or not b. differentiable or not. Answer a. continuous or not Given Given Answer a. continuous or not 1. f(x) = 5/x - 5, at x = 2 3. p(x) = x? – 2x +1 b. differentiable or not b. differentiable or not At all values of x for all values a. continuous or not a. continuous or not of x x+ 2 ;x<-4 2. 4. f(x) = b. differentiable or not -х — 6 ; х >-4 b. differentiable or not At x = - 4
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