The graph of the derivative f' of a continuous function f is shown below. (Assume f' continues to o.) y= f'(x) -2 6. 8 х -2 (a) On what interval is f increasing? (Enter your answer in interval notation.) On what interval is f decreasing? (Enter your answer in interval notation.) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) х 3 At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) х 3 (c) On what interval is f concave upward? (Enter your answer in interval notation.) On what interval is f concave downward? (Enter your answer in interval notation.) (d) What are the x-coordinate(s) of the inflection point(s) of f? (Enter your answers as a comma-separated list.) (c) On what interval is f concave upward? (Enter your answer in interval notation.) On what interval is f concave downward? (Enter your answer in interval notation.) (d) What are the x-coordinate(s) of the inflection point(s) of f? (Enter your answers as a comma-separated list.) х 3 (e) Assuming that f(0) = 0, sketch a graph of f. (Do this on paper. Your teacher may ask you to turn in this work.) %3D

The graph of the derivative f' of a continuous function f is shown below. (Assume f' continues to o.) y= f'(x) -2 6. 8 х -2 (a) On what interval is f increasing? (Enter your answer in interval notation.) On what interval is f decreasing? (Enter your answer in interval notation.) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) х 3 At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) х 3 (c) On what interval is f concave upward? (Enter your answer in interval notation.) On what interval is f concave downward? (Enter your answer in interval notation.) (d) What are the x-coordinate(s) of the inflection point(s) of f? (Enter your answers as a comma-separated list.) (c) On what interval is f concave upward? (Enter your answer in interval notation.) On what interval is f concave downward? (Enter your answer in interval notation.) (d) What are the x-coordinate(s) of the inflection point(s) of f? (Enter your answers as a comma-separated list.) х 3 (e) Assuming that f(0) = 0, sketch a graph of f. (Do this on paper. Your teacher may ask you to turn in this work.) %3D

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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