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Identify the open intervals on which the function is increasing or decreasing. (Select all that apply.) f(x)=sin x+4 , 0

Identify the open intervals on which the function is increasing or decreasing. (Select all that apply.) f(x)=sin x+4 , 0

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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Question

Identify the open intervals on which the function is increasing or decreasing. (Select all that apply.)

f(x)=sin x+4 , 0<x<2?
 
Increasing: ( ) ()
decreasing () ()
### Question 17: Analysis of Function's Behavior **Objective:** Identify the open intervals on which the function \( f(x) = \sin x + 4 \) is increasing or decreasing for the interval \( 0 < x < 2\pi \). Select all that apply. **Function:** \( f(x) = \sin x + 4 \) **Intervals Provided for Selection:** - **Increasing:** - \( (-\infty, 0) \) - \( (3\pi/2, 2\pi) \) - \( (\pi/2, 3\pi/2) \) - \( (0, \infty) \) - \( (0, \pi/2) \) - **Decreasing:** - \( (-\infty, 0) \) - \( (0, \pi/2) \) - \( (0, \infty) \) - \( (\pi/2, 3\pi/2) \) - \( (3\pi/2, 2\pi) \) **Instructions:** Select all intervals where the function is increasing or decreasing and submit your answers using the "Submit Answer" button. **Navigation:** - Use the "View Previous Question" button to go back to the previous question. - Use the "View Next Question" button to proceed to the next question. - Current question: 17 of 18 **Notes:** - Pay attention to the nature of the sine function and how it behaves over the given interval. - Ensure careful analysis of the provided intervals with respect to the sine function's increasing and decreasing behavior.
Transcribed Image Text:### Question 17: Analysis of Function's Behavior **Objective:** Identify the open intervals on which the function \( f(x) = \sin x + 4 \) is increasing or decreasing for the interval \( 0 < x < 2\pi \). Select all that apply. **Function:** \( f(x) = \sin x + 4 \) **Intervals Provided for Selection:** - **Increasing:** - \( (-\infty, 0) \) - \( (3\pi/2, 2\pi) \) - \( (\pi/2, 3\pi/2) \) - \( (0, \infty) \) - \( (0, \pi/2) \) - **Decreasing:** - \( (-\infty, 0) \) - \( (0, \pi/2) \) - \( (0, \infty) \) - \( (\pi/2, 3\pi/2) \) - \( (3\pi/2, 2\pi) \) **Instructions:** Select all intervals where the function is increasing or decreasing and submit your answers using the "Submit Answer" button. **Navigation:** - Use the "View Previous Question" button to go back to the previous question. - Use the "View Next Question" button to proceed to the next question. - Current question: 17 of 18 **Notes:** - Pay attention to the nature of the sine function and how it behaves over the given interval. - Ensure careful analysis of the provided intervals with respect to the sine function's increasing and decreasing behavior.
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