1.) Graph the function that has ALL of the following properties: f'(x) > 0 for x€ (-2,2) f'(x) < 0 for xe(-6,-2) and xe (2,6) •f"(x) > 0 for xe(-3,0) and xe(3,6) f"(x) < 0 for xe(-6, -3) and xe(0, 3) • lim_ f(x) = 2 and lim f(x) = 3 8118 818
1.) Graph the function that has ALL of the following properties: f'(x) > 0 for x€ (-2,2) f'(x) < 0 for xe(-6,-2) and xe (2,6) •f"(x) > 0 for xe(-3,0) and xe(3,6) f"(x) < 0 for xe(-6, -3) and xe(0, 3) • lim_ f(x) = 2 and lim f(x) = 3 8118 818
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:1.) Graph the function that has ALL of the following properties:
• f'(x) > 0 for xe (-2, 2)
f'(x) < 0 for xe(-6, -2) and xe (2,6)
•f"(x) > 0 for xe(−3,0) and xe(3,6)
f"(x) < 0 for xe(−6, −3) and xe(0, 3)
• lim f(x) = 2 and lim f(x) = 3
X-B

Transcribed Image Text:.6.4.pdf
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Math 251 Classwork
Ch. 6.4
1.) Graph the function that has ALL of the following properties:
•f'(x) > 0 for xe (-2,2)
f'(x) < 0 for xe (-6,-2) and xe (2,6)
2.) Consider f(x) = x - x² -
• lim f(x) = 2 and lim f(x) = 3
8110
818
In(x).
f"(x) > 0 for xe(-3,0) and xe (3,6)
f"(x) < 0 for xe(-6,-3) and xe(0, 3)
ZOOM +
a.) Find the intervals of increase/decrease
b.) Find the points for local max/min values
c.) Find the inflection points
d.) Find the intervals of concavity
e.) Find the y-intercept
f.) Find the x-intercept accurate to 4 decimal places using Newton's Method and x = 6
g.) Graph the function by hand using
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