b) Consider the function f(x) = x (x - 1)* i. Find the x-coordinates of any maxima, minima and points of inflection and find any asymptotes. Find where it is concave up or concave down. Give all your reasoning. Using this information, sketch this function. ii. Determine the value of L²₁ f(x) a dx if it exists.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 93SE: A rain drop hitting a lake makes a circular ripple. If the radius, in inches, grows as a function of...
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b)
x3
Consider the function f(x)
x 1)
i. Find the x-coordinates of any maxima, minima and points of inflection and find any
asymptotes. Find where it is concave up or concave down. Give all your reasoning.
Using this information, sketch this function.
of f f
ii. Determine the value of
f(x) dx if it exists.
Transcribed Image Text:b) x3 Consider the function f(x) x 1) i. Find the x-coordinates of any maxima, minima and points of inflection and find any asymptotes. Find where it is concave up or concave down. Give all your reasoning. Using this information, sketch this function. of f f ii. Determine the value of f(x) dx if it exists.
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