The graph of the first derivative f' of a function f is shown. (Assume the function is defined only for 0 < x < 9.) y= f'(x) 2 8 (a) On what interval(s) is f increasing? (Enter your answer using interval notation.) |(-x,4),(6,8) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) 1,3,7 X = At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) x = 2,5 (c) On what interval(s) is f concave upward? (Enter your answer using interval notation.) (4,6) On what interval(s) is f concave downward? (Enter your answer using interval notation.) |(0,4),(6,8) (d) What are the x-coordinate(s) of the inflection point of f? (Enter your answers as a comma-separated list.) X = 4
The graph of the first derivative f' of a function f is shown. (Assume the function is defined only for 0 < x < 9.) y= f'(x) 2 8 (a) On what interval(s) is f increasing? (Enter your answer using interval notation.) |(-x,4),(6,8) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) 1,3,7 X = At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) x = 2,5 (c) On what interval(s) is f concave upward? (Enter your answer using interval notation.) (4,6) On what interval(s) is f concave downward? (Enter your answer using interval notation.) |(0,4),(6,8) (d) What are the x-coordinate(s) of the inflection point of f? (Enter your answers as a comma-separated list.) X = 4
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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