1. Sketch a function f(x) with the following properties: f'(x) > 0 and f"(x) = 0, for r < 2. f'(x) < 0 and f"(x) <0, for >2 . .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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1. Sketch a function f(x) with the following properties:
f'(x) > 0 and f"(x) = 0, for x < 2.
• f'(x) < 0 and f"(x) <0, for # > 2
·
2. Sketch a function f(x) with the following properties:
• f'(x) > 0 for all z.
• f"(z) <0 for all z.
3. Sketch a function f(x) with the following properties:
• f(2)=3.
. f'(2) is undefined.
• f'(x) < 0 for all z.
Transcribed Image Text:1. Sketch a function f(x) with the following properties: f'(x) > 0 and f"(x) = 0, for x < 2. • f'(x) < 0 and f"(x) <0, for # > 2 · 2. Sketch a function f(x) with the following properties: • f'(x) > 0 for all z. • f"(z) <0 for all z. 3. Sketch a function f(x) with the following properties: • f(2)=3. . f'(2) is undefined. • f'(x) < 0 for all z.
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