Concave down: Concave down: Concave up: Concave up: 2 Use the table below to find the point(s) of inflection of /(x). (0,4) f'(x) < 0 (10, c0) f'(x) > 0 Interval (4,10) 10 f'(x) f'(x) < 0 f'(x) < 0 f'(x) = 0 f"(x) f"(x) < 0 f"(x) = 0 f"(x) > 0 f"(x) = 0 f"(x) > 0 6 Identify any point(s) of inflection of f(x) = -3x +5x and justify. Does the line tangent to the graph of f(x) sin(2x) + 5x at x lie above or below graph of f? Why? %3D %3D %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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3.
Concave down:
Concave down:
Concave up:
Concave up: 2
Use the table below to find the point(s) of inflection of /(x).
(0,4)
f'(x) < 0
5
(10, 0)
f'(x) > 0
10
(4,10)
f'(x) < 0
Interval
4
f'(x)
f'(x) < 0
f'(x) = 0
f"(x)
f"(x) < 0
f"(x) = 0
f"x) > 0
f"(x) = 0
f"(x) > 0
6 Identify any point(s) of inflection of
f(x) =
Docs the line tangent to the graph of
f(x)= sin(2x)+ 5x at x=- lie above or below the
- -3x +5x and justify.
%3D
graph of f? Why?
Transcribed Image Text:+. 5.6 Mastery Check A goformative.com/formatives/601ee8a9df2e31b42dc825c7 Other boo 3. Concave down: Concave down: Concave up: Concave up: 2 Use the table below to find the point(s) of inflection of /(x). (0,4) f'(x) < 0 5 (10, 0) f'(x) > 0 10 (4,10) f'(x) < 0 Interval 4 f'(x) f'(x) < 0 f'(x) = 0 f"(x) f"(x) < 0 f"(x) = 0 f"x) > 0 f"(x) = 0 f"(x) > 0 6 Identify any point(s) of inflection of f(x) = Docs the line tangent to the graph of f(x)= sin(2x)+ 5x at x=- lie above or below the - -3x +5x and justify. %3D graph of f? Why?
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