Suppose f(x)=10x-5ln(x), x>0 (D) Find the x-coordinates of all local maxima of f, compute their average, and enter it below. Note: If there are no local maxima, enter -1000. Average of x values =______________________. (E) Find the x-coordinates of all local minima of f, compute their average, and enter it below. Note: If there are no local minima, enter -1000. Average of x values =_________________ (F) Use interval notation to indicate where f(x) is concave up. Concave up: _________________

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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Suppose

f(x)=10x-5ln(x), x>0

(D) Find the x-coordinates of all local maxima of f, compute their average, and enter it below.
Note: If there are no local maxima, enter -1000.

Average of x values =______________________.

(E) Find the x-coordinates of all local minima of f, compute their average, and enter it below.
Note: If there are no local minima, enter -1000.

Average of x values =_________________

(F) Use interval notation to indicate where f(x) is concave up.
Concave up: _________________

(G) Use interval notation to indicate where f(x) is concave down.
Concave down: ___________________

(H) Find all inflection points of f, compute their average, and enter it below.
Note: If there are no inflection points, enter -1000.
Average of inflection points =________________

(I) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below.
Graph Complete:__________________

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