A function and its graph are given. (x) = x + 2x2 - 12x – 20 60 40 20 -8 -6 -4 -2 6 -40- (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) |(-2,00) Estimate where f"(x) < 0. (Enter your answer using interval notation.) -00, - 2) Estimate where f"(x) = 0. (Enter your answers as a comma-separated list.) %3D -2 (b) Use (a) to decide where f'(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima x = DNE
A function and its graph are given. (x) = x + 2x2 - 12x – 20 60 40 20 -8 -6 -4 -2 6 -40- (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) |(-2,00) Estimate where f"(x) < 0. (Enter your answer using interval notation.) -00, - 2) Estimate where f"(x) = 0. (Enter your answers as a comma-separated list.) %3D -2 (b) Use (a) to decide where f'(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) relative maxima x = DNE
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
Transcribed Image Text:A function and its graph are given.
f(x) = x3 + 2x2 - 12x – 20
y
60
40
20
-8
-6
-4
-2
-20
-40
(a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.)
(-2,00)
Estimate where f"(x) < 0. (Enter your answer using interval notation.)
(-о, — 2)
Estimate where f"(x) = 0. (Enter your answers as a comma-separated list.)
X =
-2
(b) Use (a) to decide where f'(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)
relative maxima
DNE
relative minima
X =

Transcribed Image Text:(c) Verify your results in parts (a) and (b) by finding f'(x) and f"(x) and then graphing each with a graphing utility. Find where f"(x) > 0. (Enter your answer using interval notation.)
(-2,00)
Find where f"(x) < 0. (Enter your answer using interval notation.)
Find where f"(x) = 0. (Enter your answers as a comma-separated list.)
X =
Find where f '(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)
relative maxima
X =
relative minima
X =
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