C.Which of the following are not differentiable? A. f(x) = |x| C. f(x) = 1066 %3D B. f(x) = (x + 3)* D. f(x) = mx + b

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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Answer each of the following questions "a to c" show your Complete Solutions.My question is compose of 3 questions which is a,b, and c according to bartleby i can ask 3 questions so please answer it all and not just the first one (This is all about Basic Calculus: Continuity and Differentiability of a Function).

I already provided the answers I just need the complete SOLUTIONS AND EXPLANATIONS.

a. D

b. C

c. A

a.Is the function given below continuous/differentiable at x = 2?
2x2 - х
, x < 2
f (x) =
8x-22
, x > 2
A. Continuous but not differentiable
B. Differentiable but not continuous
C. Both continuous and differentiable
D. Neither continuous nor differentiable
b. Is the function given below continuous and differentiable at x =
3?
, * < 3
,x > 3
f(x)
%3D
6x-9
A. Continuous but not differentiable
B. Differentiable nut not continuous
C. Both continuous and differentiable
D. Neither continuous nor differentiable
C.Which of the following are not differentiable?
A. f(x) = |x|
С. f (х) 3D 1066
B. f(x) = (x + 3)*
D. f(x) = mx +b
Transcribed Image Text:a.Is the function given below continuous/differentiable at x = 2? 2x2 - х , x < 2 f (x) = 8x-22 , x > 2 A. Continuous but not differentiable B. Differentiable but not continuous C. Both continuous and differentiable D. Neither continuous nor differentiable b. Is the function given below continuous and differentiable at x = 3? , * < 3 ,x > 3 f(x) %3D 6x-9 A. Continuous but not differentiable B. Differentiable nut not continuous C. Both continuous and differentiable D. Neither continuous nor differentiable C.Which of the following are not differentiable? A. f(x) = |x| С. f (х) 3D 1066 B. f(x) = (x + 3)* D. f(x) = mx +b
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