Consider the function f(x) = x/3(x + 2)2/3 whose domain is (-∞, o). (a) Find the intervals on which f is increasing. (Enter you answer as a comma-separated list of intervals.) Find the intervals on which f is decreasing. (Enter you answer as a comma-separated list of intervals.) (b) Find the open intervals on which f is concave up. (Enter you answer as a comma-separated list of intervals.) Find the open intervals on which f is concave down. (Enter you answer as a comma-separated list of intervals.) (0,00)

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Consider the function f(x) = x3(x + 2)/3 whose domain is (-o, o).
(a) Find the intervals on which f is increasing. (Enter you answer as a comma-separated list of intervals.)
Find the intervals on which f is decreasing. (Enter you answer as a comma-separated list of intervals.)
(b) Find the open intervals on which f is concave up. (Enter you answer as a comma-separated list of intervals.)
Find the open intervals on which f is concave down. (Enter you answer as a comma-separated list of intervals.)
(0,00)
Transcribed Image Text:Consider the function f(x) = x3(x + 2)/3 whose domain is (-o, o). (a) Find the intervals on which f is increasing. (Enter you answer as a comma-separated list of intervals.) Find the intervals on which f is decreasing. (Enter you answer as a comma-separated list of intervals.) (b) Find the open intervals on which f is concave up. (Enter you answer as a comma-separated list of intervals.) Find the open intervals on which f is concave down. (Enter you answer as a comma-separated list of intervals.) (0,00)
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