The functions f, g, and h are all continuous on the interval [a, b]. The table gives the sign of each function and its derivatives for the interval [a, b]. Use the table to match each function with its graph. f(x) > 0 ƒ'(x) > 0 f"(x) > 0 y a [A] ƒ is I, g is II, h is III [D] f is I, g is III, h is II g(x) > 0 g'(x) > 0 g"(x) < 0 II h(x) > 0 h'(x) < 0 h'(x) > 0 III X [B] f is II, g is I, h is III [E] f is III, g is II, h is I [C] f is II, g is III, h is I
The functions f, g, and h are all continuous on the interval [a, b]. The table gives the sign of each function and its derivatives for the interval [a, b]. Use the table to match each function with its graph. f(x) > 0 ƒ'(x) > 0 f"(x) > 0 y a [A] ƒ is I, g is II, h is III [D] f is I, g is III, h is II g(x) > 0 g'(x) > 0 g"(x) < 0 II h(x) > 0 h'(x) < 0 h'(x) > 0 III X [B] f is II, g is I, h is III [E] f is III, g is II, h is I [C] f is II, g is III, h is I
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The functions f, g, and h are all continuous on the interval [a, b]. The table gives the sign of
each function and its derivatives for the interval [a, b]. Use the table to match each function
with its graph.
f(x) > 0
ƒ'(x) > 0
f"(x) > 0
y
a
[A] f is I, g is II, h is III
[D] ƒ is I, g is III, h is II
g(x) > 0
g'(x) > 0
g"(x) < 0
II
h(x) > 0
h'(x) < 0
h'(x) > 0
III
X
[B] f is II, g is I, h is III
[E] f is III, g is II, h is I
[C] f is II, g is III, h is I](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93724627-c7b6-406b-9a00-d0dcd2c570ce%2F4d9aef9c-f4d1-4985-b262-4b53e8b9ab2e%2Fzqhejm_processed.png&w=3840&q=75)
Transcribed Image Text:The functions f, g, and h are all continuous on the interval [a, b]. The table gives the sign of
each function and its derivatives for the interval [a, b]. Use the table to match each function
with its graph.
f(x) > 0
ƒ'(x) > 0
f"(x) > 0
y
a
[A] f is I, g is II, h is III
[D] ƒ is I, g is III, h is II
g(x) > 0
g'(x) > 0
g"(x) < 0
II
h(x) > 0
h'(x) < 0
h'(x) > 0
III
X
[B] f is II, g is I, h is III
[E] f is III, g is II, h is I
[C] f is II, g is III, h is I
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