A function and its graph are given. Fx) = + 4x - 20x - 20 250 200 150 100 50 -10 -5 - 50 (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) Estimate where f"(x) < 0. (Enter your answer using interval notation.) Estimate where f"(x) = 0. (Enter your answers as a comma-separated list.) (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 relative minima (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.) Find where f"(x) < 0. (Enter your answer using interval notation.) Find where f"(x) = 0. (Enter your answers as a comma-separated list.) 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 relative minima

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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A function and its graph are given.
Fx) = + 4x - 20x - 20
250
200
150
100
50
-10
-5
- 50
(a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.)
Estimate where f"(x) < 0. (Enter your answer using interval notation.)
Estimate where f"(x) = 0. (Enter your answers as a comma-separated list.)
(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
relative minima
(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.)
Find where f"(x) < 0. (Enter your answer using interval notation.)
Find where f"(x) = 0. (Enter your answers as a comma-separated list.)
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
relative minima
Transcribed Image Text:A function and its graph are given. Fx) = + 4x - 20x - 20 250 200 150 100 50 -10 -5 - 50 (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) Estimate where f"(x) < 0. (Enter your answer using interval notation.) Estimate where f"(x) = 0. (Enter your answers as a comma-separated list.) (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 relative minima (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.) Find where f"(x) < 0. (Enter your answer using interval notation.) Find where f"(x) = 0. (Enter your answers as a comma-separated list.) 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 relative minima
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