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For the graph below, give a restricted domain that includes = O and the entire range of the function. -7 6-5-4-3-2-1 m N T E N M 1 2 3 4 5 6

For the graph below, give a restricted domain that includes = O and the entire range of the function. -7 6-5-4-3-2-1 m N T E N M 1 2 3 4 5 6

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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**Graph and Function Analysis** For the graph below, determine a restricted domain that includes \( x = 0 \) and covers the entire range of the function. **Graph Description:** - The graph is of a sinusoidal function with waves that oscillate vertically between the y-values of 3 and -3. - The pattern of the function completes two full cycles between \( x = -7 \) and \( x = 7 \). - The wave is continuous and smooth, indicating that it is likely a sine or cosine function. **Axes:** - **X-axis (Horizontal):** Ranges from -7 to 7 - **Y-axis (Vertical):** Ranges from 4 to -4 **Wave Characteristics:** - The peaks of the waves reach a maximum of 3. - The troughs of the waves reach a minimum of -3. - The graph crosses the x-axis at \( x = -6, -3, 0, 3, \) and \( 6 \). **Instruction:** Provide the restricted domain that includes \( x = 0 \) and accommodates the complete range of y-values from -3 to 3.
Transcribed Image Text:**Graph and Function Analysis** For the graph below, determine a restricted domain that includes \( x = 0 \) and covers the entire range of the function. **Graph Description:** - The graph is of a sinusoidal function with waves that oscillate vertically between the y-values of 3 and -3. - The pattern of the function completes two full cycles between \( x = -7 \) and \( x = 7 \). - The wave is continuous and smooth, indicating that it is likely a sine or cosine function. **Axes:** - **X-axis (Horizontal):** Ranges from -7 to 7 - **Y-axis (Vertical):** Ranges from 4 to -4 **Wave Characteristics:** - The peaks of the waves reach a maximum of 3. - The troughs of the waves reach a minimum of -3. - The graph crosses the x-axis at \( x = -6, -3, 0, 3, \) and \( 6 \). **Instruction:** Provide the restricted domain that includes \( x = 0 \) and accommodates the complete range of y-values from -3 to 3.
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