6. Without graphing the function on your calculator, find the limit. Use L'Hopital's Rule where appropriat L'Hospital's Rule is used, show work and write one sentence justifying your use of the rules lim-2cos(3x) sec(5x) X-Z

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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5. Sketch the graph of a function f(x) that satisfies the given conditions.
a.) Domain: (-∞0, 8]
b.) Intercepts: (-5,0), (1,0)
c.) f'(-2) = 0
d.) f'(x) < 0 on (-∞, -2)
e.) f'(x) > 0 on (-2,00)
f.) f"(x) <0 on (1,4)
g.) f"(x) > 0 on (-∞0, 1) and (4,8]
6. Without graphing the function on your calculator, find the limit. Use L'Hopital's Rule where appropriate. If
L'Hospital's Rule is used, show work and write one sentence justifying your use of the rule
lim-2cos(3x) sec(5x)
x-Z
Transcribed Image Text:5. Sketch the graph of a function f(x) that satisfies the given conditions. a.) Domain: (-∞0, 8] b.) Intercepts: (-5,0), (1,0) c.) f'(-2) = 0 d.) f'(x) < 0 on (-∞, -2) e.) f'(x) > 0 on (-2,00) f.) f"(x) <0 on (1,4) g.) f"(x) > 0 on (-∞0, 1) and (4,8] 6. Without graphing the function on your calculator, find the limit. Use L'Hopital's Rule where appropriate. If L'Hospital's Rule is used, show work and write one sentence justifying your use of the rule lim-2cos(3x) sec(5x) x-Z
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