Sketch the graph of a function that satisfies all of the given conditions. f'(x) > 0 for all x, f"(x) > 0 if x < 5, f"(x) < 0 if x > 5, f has inflection point (5, 4), lim_f(x) = 8, lim f(x) = 0 X--0 y 10ㅏ -10 -5 5 -5 о -10- x 5 10 -10 -5 y 10- 5 -5 -10F x 5 10 -10 -5 y 10- 5 -5 -10 x 5 10 -10 -5 y 10- 5 -5 -10þ x 5 10

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
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Sketch the graph of a function that satisfies all of the given conditions.
f ′(x) > 0 for all x,
 
f ″(x) > 0 if x < 5,
 
f ″(x) < 0 if x > 5,
 
f has inflection point (5, 4),
 
 lim x→∞ f(x) = 8,
 
 lim x→−∞ f(x) = 0
 
Sketch the graph of a function that satisfies all of the given conditions.
f'(x) > 0 for all x,
f"(x) > 0 if x < 5,
f"(x) < 0 if x > 5,
f has inflection point (5, 4),
lim_f(x) = 8,
lim f(x) = 0
X--0
y
10ㅏ
-10
-5
5
-5
о
-10-
x
5
10
-10
-5
y
10-
5
-5
-10F
x
5
10
-10
-5
y
10-
5
-5
-10
x
5
10
-10
-5
y
10-
5
-5
-10þ
x
5
10
Transcribed Image Text:Sketch the graph of a function that satisfies all of the given conditions. f'(x) > 0 for all x, f"(x) > 0 if x < 5, f"(x) < 0 if x > 5, f has inflection point (5, 4), lim_f(x) = 8, lim f(x) = 0 X--0 y 10ㅏ -10 -5 5 -5 о -10- x 5 10 -10 -5 y 10- 5 -5 -10F x 5 10 -10 -5 y 10- 5 -5 -10 x 5 10 -10 -5 y 10- 5 -5 -10þ x 5 10
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