Consider the function and its derivatives: a) Identify the graph that displays f in blue (thick) and f" in red (thin). ? A. b) Indicate the x-intervals where f is concave up and concave down. Give your answer in help (intervals). (Type INF for ∞ and -INF for -∞.) f is concave up on f is concave down on B -4 f(x) = x²+2 f'(x) = +8x (x² + 2)² and f" (x) = _24c2 +16 (x² + 2)³ Match the functions with their graphs. A. B. C. 1. 1 2. 1 1 3. +1 4. x²+1 (Click on a graph to see an enlarged view.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 4SE: How do you find the domain for the composition of two functions, fg ?
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Consider the function
and its derivatives:
a) Identify the graph that displays f in blue (thick) and f" in red (thin). ?
A.
b) Indicate the x-intervals where f is concave up and concave down. Give your answer in help (intervals). (Type INF for ∞ and -INF for -∞.)
f is concave up on
f is concave down on
B
-4
f(x) =
x²+2
f'(x) =
+8x
(x² + 2)²
and
f" (x) =
_24c2 +16
(x² + 2)³
Transcribed Image Text:Consider the function and its derivatives: a) Identify the graph that displays f in blue (thick) and f" in red (thin). ? A. b) Indicate the x-intervals where f is concave up and concave down. Give your answer in help (intervals). (Type INF for ∞ and -INF for -∞.) f is concave up on f is concave down on B -4 f(x) = x²+2 f'(x) = +8x (x² + 2)² and f" (x) = _24c2 +16 (x² + 2)³
Match the functions with their graphs.
A.
B.
C.
1.
1
2.
1
1
3.
+1
4.
x²+1
(Click on a graph to see an enlarged view.)
Transcribed Image Text:Match the functions with their graphs. A. B. C. 1. 1 2. 1 1 3. +1 4. x²+1 (Click on a graph to see an enlarged view.)
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