Consider the function f which is given on its domain (0, ∞) by f(x) = 18x2 – (36x + 9) ln(æ) . • Find the number c in the domain of f at which f" is zero or undefined and give its exact value in the first column of the table below. The second column consists of several drop-down menus. Do the following: for each of the given intervals, state if the graph of f is concave up or concave down on that interval; state whether or not c is an inflection point of the graph of f. behavior 0 < x < c concave upward 固助 inflection point C = x > c concave upward

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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Consider the function f which is given on its domain (0, 0) by
f(x) = 18x2 – (36x + 9) In(x) .
|
• Find the number c in the domain of f at which f" is zero or undefined and give its exact value in the first column of the
table below.
The second column consists of several drop-down menus. Do the following:
for each of the given intervals, state if the graph of f is concave up or concave down on that interval;
state whether or not c is an inflection point of the graph of f.
behavior
0 < x < c
concave upward
c =
inflection point
x > c
concave upward
Transcribed Image Text:Consider the function f which is given on its domain (0, 0) by f(x) = 18x2 – (36x + 9) In(x) . | • Find the number c in the domain of f at which f" is zero or undefined and give its exact value in the first column of the table below. The second column consists of several drop-down menus. Do the following: for each of the given intervals, state if the graph of f is concave up or concave down on that interval; state whether or not c is an inflection point of the graph of f. behavior 0 < x < c concave upward c = inflection point x > c concave upward
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