On the previous page, we learned how to use the graph of a function to determine where the function is NOT differentiable. At any given input value, a function is either differentiable or not differentiable. Consequently, it is often easier to first determine where a function is not differentiable, and then identify the intervals where the function is differentiable. Below is a graph of the function y = f(x). Determine where the function is differentiable. Explain your reasoning and write your answer in interval notation. 10 9 8 7 6 5+ 4 3 2 1 1 2 3 4 5 6 7 y = f (x) 8 9 10 X

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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On the previous page, we learned how to use the graph of a function to determine where the function is NOT
differentiable. At any given input value, a function is either differentiable or not differentiable. Consequently, it is often
easier to first determine where a function is not differentiable, and then identify the intervals where the function is
differentiable.
arch
Below is a graph of the function y = f(x). Determine where the function is differentiable. Explain your reasoning and
write your answer in interval notation.
f3
#M
3
10
12
D
9 +
E
DO
8
7
6
5
4
3
2
O
$
4
1 2
81
R
F
f5
ur do
%
5
3
T
G
4
f6
6
5
f7
Y
6 7 8
H
y = f(x)
&
7
fg
89
U
8
J
hp
fg
10 X
1
9
K
h
f10
4
f11
L
P
f12
+
[
insert
prt sc
Transcribed Image Text:On the previous page, we learned how to use the graph of a function to determine where the function is NOT differentiable. At any given input value, a function is either differentiable or not differentiable. Consequently, it is often easier to first determine where a function is not differentiable, and then identify the intervals where the function is differentiable. arch Below is a graph of the function y = f(x). Determine where the function is differentiable. Explain your reasoning and write your answer in interval notation. f3 #M 3 10 12 D 9 + E DO 8 7 6 5 4 3 2 O $ 4 1 2 81 R F f5 ur do % 5 3 T G 4 f6 6 5 f7 Y 6 7 8 H y = f(x) & 7 fg 89 U 8 J hp fg 10 X 1 9 K h f10 4 f11 L P f12 + [ insert prt sc
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