Sketch the graph and plot the points listed

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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Sketch the graph and plot the points listed 

3. Sketch a graph that meets the following criteria:
Domain: {x E R|x # 1,5}
f'(x) > 0 on x € (5,8)
f'(x) < 0 on x € (-∞, 1) U (1,5) U (8,⁰0)
f"(x) > 0 on x € (1,3) U (10, ∞)
f"(x) < 0 on x € (-∞0, 1) U (3,5) U (5,10)
f(3) = 1 and f(8) = 1
y-intercept at (0, -2)
x-intercepts at (6,0) and (10,0)
Transcribed Image Text:3. Sketch a graph that meets the following criteria: Domain: {x E R|x # 1,5} f'(x) > 0 on x € (5,8) f'(x) < 0 on x € (-∞, 1) U (1,5) U (8,⁰0) f"(x) > 0 on x € (1,3) U (10, ∞) f"(x) < 0 on x € (-∞0, 1) U (3,5) U (5,10) f(3) = 1 and f(8) = 1 y-intercept at (0, -2) x-intercepts at (6,0) and (10,0)
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