Let f(x) = x(x-4)³. (a) Find the critical number(s) of f. (b) Find the interval(s) on which f is increasing or is decreasing. (c) Find the local minimum and maximum value(s) of f. (You only need to state the a-values at which these occur.) (d) Find the interval(s) on which f is concave up or concave down. (e) Find the inflection point(s) of f. (You only need to state the z-values at which these occur.)
Let f(x) = x(x-4)³. (a) Find the critical number(s) of f. (b) Find the interval(s) on which f is increasing or is decreasing. (c) Find the local minimum and maximum value(s) of f. (You only need to state the a-values at which these occur.) (d) Find the interval(s) on which f is concave up or concave down. (e) Find the inflection point(s) of f. (You only need to state the z-values at which these occur.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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