Consider the following. if x s 2 S2 - x |x² – 4x + 4 f(x) = if x > 2 Is f differentiable at 2? O Yes O No Sketch the graph of f. y y 10 10 5 X - 10 -5 5 10 -10 -5 10 - 10 - 10 y y 10 - 10 -5 10 - 10 -5 5 10 - 5 - 10 Sketch the graph of f'. y y 10 10 5 X 40 10 40 5 10

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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Consider the following.
if x < 2
2 - x
|x2 - 4x + 4
f(x) =
if x > 2
Is f differentiable at 2?
O Yes
O No
Sketch the graph of f.
y
y
10
10
5
-10
-5
10
- 10
-5
10
-5
f
-10f
–10
y
y
10
10
5
- 10
-5
10
- 10
-5
5
10
– 10
Sketch the graph of f'.
y
y
10
10
5
5
40
10
10
10
- 5
-5
- 10
- 10
y
y
10
10
5
40
10
10
10
-5
- 10
-10
Transcribed Image Text:Consider the following. if x < 2 2 - x |x2 - 4x + 4 f(x) = if x > 2 Is f differentiable at 2? O Yes O No Sketch the graph of f. y y 10 10 5 -10 -5 10 - 10 -5 10 -5 f -10f –10 y y 10 10 5 - 10 -5 10 - 10 -5 5 10 – 10 Sketch the graph of f'. y y 10 10 5 5 40 10 10 10 - 5 -5 - 10 - 10 y y 10 10 5 40 10 10 10 -5 - 10 -10
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