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Problem 1: The graph of the left is of f(x). State the intervals of increasing and decreasing of f(x). The graph on the right is of g'(x). State the intervals of increasing and decreasing of g(x). 10 j -10 15 ol -10 10 4 -10 -5 10

Problem 1: The graph of the left is of f(x). State the intervals of increasing and decreasing of f(x). The graph on the right is of g'(x). State the intervals of increasing and decreasing of g(x). 10 j -10 15 ol -10 10 4 -10 -5 10

Calculus: Early Transcendentals
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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**Problem 1**: The graph on the left is of \( f(x) \). State the intervals of increasing and decreasing of \( f(x) \). The graph on the right is of \( g'(x) \). State the intervals of increasing and decreasing of \( g(x) \). ### Graph Descriptions: #### Left Graph (\( f(x) \)): - A continuous curve ranging approximately from \( x = -10 \) to \( x = 10 \). - From \( x = -10 \) to about \( x = -2 \), the function is increasing. - From \( x = -2 \) to \( x = 2 \), the function has a decreasing trend. - From \( x = 2 \) to \( x = 10 \), the function increases again. #### Right Graph (\( g'(x) \)): - A continuous curve ranging approximately from \( x = -10 \) to \( x = 10 \). - From \( x = -10 \) to about \( x = -3 \), the derivative \( g'(x) \) is negative, indicating \( g(x) \) is decreasing. - From \( x = -3 \) to \( x = 0 \), \( g'(x) \) is positive, indicating \( g(x) \) is increasing. - From \( x = 0 \) to approximately \( x = 2 \), the derivative is negative, suggesting \( g(x) \) is decreasing. - From \( x = 2 \) to \( x = 10 \), the derivative is positive, indicating \( g(x) \) is increasing.
Transcribed Image Text:**Problem 1**: The graph on the left is of \( f(x) \). State the intervals of increasing and decreasing of \( f(x) \). The graph on the right is of \( g'(x) \). State the intervals of increasing and decreasing of \( g(x) \). ### Graph Descriptions: #### Left Graph (\( f(x) \)): - A continuous curve ranging approximately from \( x = -10 \) to \( x = 10 \). - From \( x = -10 \) to about \( x = -2 \), the function is increasing. - From \( x = -2 \) to \( x = 2 \), the function has a decreasing trend. - From \( x = 2 \) to \( x = 10 \), the function increases again. #### Right Graph (\( g'(x) \)): - A continuous curve ranging approximately from \( x = -10 \) to \( x = 10 \). - From \( x = -10 \) to about \( x = -3 \), the derivative \( g'(x) \) is negative, indicating \( g(x) \) is decreasing. - From \( x = -3 \) to \( x = 0 \), \( g'(x) \) is positive, indicating \( g(x) \) is increasing. - From \( x = 0 \) to approximately \( x = 2 \), the derivative is negative, suggesting \( g(x) \) is decreasing. - From \( x = 2 \) to \( x = 10 \), the derivative is positive, indicating \( g(x) \) is increasing.
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