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Use the following graph of f' to sketch a graph of f. 20 16 12 co -M 12 16 F

Use the following graph of f' to sketch a graph of f. 20 16 12 co -M 12 16 F

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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The image displays three graphs, labeled as options c, d, and e. Each graph plots a function with a blue line within a coordinate grid. Here's a detailed description of each graph: ### Graph c - **X-Axis Range:** -6 to 15 - **Y-Axis Range:** -20 to 120 - **Description:** The graph starts high on the y-axis above 120 and decreases sharply, crossing the x-axis near x = 2. It continues with a small dip and a peak around x = 4, then drops again, leveling off slightly above the x-axis. ### Graph d - **X-Axis Range:** -6 to 15 - **Y-Axis Range:** -20 to 120 - **Description:** The graph begins near y = 0, increases steadily crossing into positive y-values, reaching a peak around x = 3, then descends towards a trough at x = 9, and finally rises again up to y = 120. ### Graph e - **X-Axis Range:** -6 to 15 - **Y-Axis Range:** -20 to 120 - **Description:** The graph starts high on the y-axis above 120 and descends steeply, passing through the x-axis near x = -2. It continues descending, reaching a minimum before x = 5, and then rises gently, leveling off below the x-axis. These graphs can represent different mathematical functions, each showing distinct patterns of increase, decrease, and periodic changes.
Transcribed Image Text:The image displays three graphs, labeled as options c, d, and e. Each graph plots a function with a blue line within a coordinate grid. Here's a detailed description of each graph: ### Graph c - **X-Axis Range:** -6 to 15 - **Y-Axis Range:** -20 to 120 - **Description:** The graph starts high on the y-axis above 120 and decreases sharply, crossing the x-axis near x = 2. It continues with a small dip and a peak around x = 4, then drops again, leveling off slightly above the x-axis. ### Graph d - **X-Axis Range:** -6 to 15 - **Y-Axis Range:** -20 to 120 - **Description:** The graph begins near y = 0, increases steadily crossing into positive y-values, reaching a peak around x = 3, then descends towards a trough at x = 9, and finally rises again up to y = 120. ### Graph e - **X-Axis Range:** -6 to 15 - **Y-Axis Range:** -20 to 120 - **Description:** The graph starts high on the y-axis above 120 and descends steeply, passing through the x-axis near x = -2. It continues descending, reaching a minimum before x = 5, and then rises gently, leveling off below the x-axis. These graphs can represent different mathematical functions, each showing distinct patterns of increase, decrease, and periodic changes.
**Instructions:** Use the following graph of \( f' \) to sketch a graph of \( f \). **Graph Description:** 1. **First Graph (Graph of \( f' \)):** - The plot is a parabolic curve opening downwards. - The graph starts at \( x \approx -5 \) and ends at \( x \approx 13 \). - The apex of the parabola is at \( x = 3 \) and \( y = 10 \). 2. **Options:** **Select one:** - **Option a:** - The plot shows a downward opening parabola. - Range along the y-axis is from 0 to 20. - Base extends from \( x \approx -1 \) to \( x \approx 9 \). - **Option b:** - The plot is a straight line with a negative slope. - Range along the y-axis is from 12 down to 0 as \( x \) increases from 0 to 12. **Question:** Choose the graph that correctly represents \( f \) based on the graph of \( f' \) provided.
Transcribed Image Text:**Instructions:** Use the following graph of \( f' \) to sketch a graph of \( f \). **Graph Description:** 1. **First Graph (Graph of \( f' \)):** - The plot is a parabolic curve opening downwards. - The graph starts at \( x \approx -5 \) and ends at \( x \approx 13 \). - The apex of the parabola is at \( x = 3 \) and \( y = 10 \). 2. **Options:** **Select one:** - **Option a:** - The plot shows a downward opening parabola. - Range along the y-axis is from 0 to 20. - Base extends from \( x \approx -1 \) to \( x \approx 9 \). - **Option b:** - The plot is a straight line with a negative slope. - Range along the y-axis is from 12 down to 0 as \( x \) increases from 0 to 12. **Question:** Choose the graph that correctly represents \( f \) based on the graph of \( f' \) provided.
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