The graph of the derivative f' of a continuous function f is shown. (Assume f' continues to o.) y -4 y= f'(x) 6 (a) On what interval(s) is f increasing? (Enter your answer in interval notation.) (3,6) U (6,00) On what interval(s) is f decreasing? (Enter your answer in interval notation.) (0,3) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) X = (c) On what interval(s) is f concave upward? (Enter your answer in interval notation.)

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
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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The graph of the derivative f' of a continuous function f is shown. (Assume f' continues to o.)
y
4
y = f'(x)
-2
Xx
-2
(a) On what interval(s) is f increasing? (Enter your answer in interval notation.)
(3,6) U (6,00)
On what interval(s) is f decreasing? (Enter your answer in interval notation.)
(0,3)
(b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.)
X =
At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.)
X =
(c) On what interval(s) is f concave upward? (Enter your answer in interval notation.)
Transcribed Image Text:The graph of the derivative f' of a continuous function f is shown. (Assume f' continues to o.) y 4 y = f'(x) -2 Xx -2 (a) On what interval(s) is f increasing? (Enter your answer in interval notation.) (3,6) U (6,00) On what interval(s) is f decreasing? (Enter your answer in interval notation.) (0,3) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) X = At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) X = (c) On what interval(s) is f concave upward? (Enter your answer in interval notation.)
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