Consider the graph of the function f(x) shown below. a) Consider the function at the point 1. f(x1) is ? ▼, f'(x1) is ? b) Now consider the function at the point x2. f(x2) is ? and "(1) is ? ☑, f'(x2) is ? ✓ and f" (x2) is ? c) What is the parity of the function? f(x) is ? For the remaining two parts of this question, consider the following 6 graphs. d) Which is the graph of f'(x)? ? ✓ e) Which is the graph of ƒ"(x)? ? ✓ x1 x2 TVA A B E (Click on a graph to enlarge it) Note: If you are asked for value(s), give your answer as a single value (e.g. 17), or a comma separated list (e.g. 1,2,3), or NONE. If you are asked for an interval, give your answer in help (intervals).. Type inf for ∞ and -inf for -∞. Let which has the following derivatives: f'(x) = (x2+2x-3)e", f" (x) = (x² + 4x − 1)e. (a) Find the locations (the x-values) of the points of inflection. x = (b) Determine the z-intervals on which fis concave up or down. The left-most interval is The middle interval is The right-most interval is , and on this interval f is ? and on this interval fis ? and on this interval fis f(x) = (x² - 3)e²,

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 graph of the function f(x) shown below.
a) Consider the function at the point 1.
f(x1) is ?
▼, f'(x1) is ?
b) Now consider the function at the point x2.
f(x2) is ?
and "(1) is ?
☑, f'(x2) is ?
✓
and f" (x2) is ?
c) What is the parity of the function?
f(x) is ?
For the remaining two parts of this question, consider the following 6 graphs.
d) Which is the graph of f'(x)? ? ✓
e) Which is the graph of ƒ"(x)? ? ✓
x1
x2
TVA
A
B
E
(Click on a graph to enlarge it)
Transcribed Image Text:Consider the graph of the function f(x) shown below. a) Consider the function at the point 1. f(x1) is ? ▼, f'(x1) is ? b) Now consider the function at the point x2. f(x2) is ? and "(1) is ? ☑, f'(x2) is ? ✓ and f" (x2) is ? c) What is the parity of the function? f(x) is ? For the remaining two parts of this question, consider the following 6 graphs. d) Which is the graph of f'(x)? ? ✓ e) Which is the graph of ƒ"(x)? ? ✓ x1 x2 TVA A B E (Click on a graph to enlarge it)
Note: If you are asked for value(s), give your answer as a single value (e.g. 17), or a comma separated list (e.g. 1,2,3), or NONE.
If you are asked for an interval, give your answer in help (intervals)..
Type inf for ∞ and -inf for -∞.
Let
which has the following derivatives:
f'(x)
=
(x2+2x-3)e",
f" (x) = (x² + 4x − 1)e.
(a) Find the locations (the x-values) of the points of inflection.
x =
(b) Determine the z-intervals on which fis concave up or down.
The left-most interval is
The middle interval is
The right-most interval is
, and on this interval f is ?
and on this interval fis ?
and on this interval fis
f(x) = (x² - 3)e²,
Transcribed Image Text:Note: If you are asked for value(s), give your answer as a single value (e.g. 17), or a comma separated list (e.g. 1,2,3), or NONE. If you are asked for an interval, give your answer in help (intervals).. Type inf for ∞ and -inf for -∞. Let which has the following derivatives: f'(x) = (x2+2x-3)e", f" (x) = (x² + 4x − 1)e. (a) Find the locations (the x-values) of the points of inflection. x = (b) Determine the z-intervals on which fis concave up or down. The left-most interval is The middle interval is The right-most interval is , and on this interval f is ? and on this interval fis ? and on this interval fis f(x) = (x² - 3)e²,
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