Sketch the curve of f(x), a function whose first derivative has the following properties. You must explain what each piece of information tells you about f(x). Make sure your sketch is labeled clearly with all important points. To be clear - you are sketching f(x), not f'(x). 1. f'(x) decreases when x <= 2. f'(x) increases when 3. f'(x) has roots when = - 3; x 11/13 4. f'(x) is positive when x < −3; x > 5. f'(x) is negative when -3 < x < 1/ = 13
Sketch the curve of f(x), a function whose first derivative has the following properties. You must explain what each piece of information tells you about f(x). Make sure your sketch is labeled clearly with all important points. To be clear - you are sketching f(x), not f'(x). 1. f'(x) decreases when x <= 2. f'(x) increases when 3. f'(x) has roots when = - 3; x 11/13 4. f'(x) is positive when x < −3; x > 5. f'(x) is negative when -3 < x < 1/ = 13
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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Transcribed Image Text:Sketch the curve of f(x), a function whose first derivative has the following
properties. You must explain what each piece of information tells you about f(x).
Make sure your sketch is labeled clearly with all important points. To be clear - you
are sketching f(x), not f'(x).
-4
1. f'(x) decreases when ï <===
2. f'(x) increases when
3. f'(x) has roots when =
- 3; x
=
4. f'(x) is positive when x < −3; x > 1/3
5. f'(x) is negative when −3 < x < 1/
13
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