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Match the graphs with the corresponding formulas. 1. Sn = 3/n ? ? ? ? 2. Sn=3+ (-1)"/n ✓3. Sn = 3-4/n 4. Sn = 3 + 4/n A с (Click on a graph to enlarge it) co B D

Match the graphs with the corresponding formulas. 1. Sn = 3/n ? ? ? ? 2. Sn=3+ (-1)"/n ✓3. Sn = 3-4/n 4. Sn = 3 + 4/n A с (Click on a graph to enlarge it) co B D

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 comprises five scatter plot graphs arranged in a grid layout. Each graph displays a set of blue data points representing a relationship between variables plotted on the x and y axes. Here is a detailed explanation of each graph: 1. **Top Left Graph**: - **Description**: It shows a downward trend, where y-values decrease as x-values increase. - **Axes**: The x-axis ranges from 1 to 10, the y-axis ranges from 7 to -1. 2. **Top Middle Graph**: - **Description**: Similar to the top left, this graph shows a descending pattern, with y-values dropping as x-values go up. - **Axes**: The x-axis ranges from 1 to 10, the y-axis ranges from 7 to -1. 3. **Top Right Graph**: - **Description**: Displays an upward trend, with y-values increasing as x-values increase, suggesting positive correlation. - **Axes**: The x-axis ranges from 1 to 10, the y-axis ranges from -1 to 7. 4. **Bottom Left Graph**: - **Description**: Shows a gentle downward curve, with y-values slightly decreasing as x-values increase. - **Axes**: The x-axis ranges from 1 to 10, the y-axis ranges from 7 to -1. 5. **Bottom Right Graph**: - **Description**: It features an upward curve, with y-values rising along with x-values, representing a positive correlation. - **Axes**: The x-axis ranges from 1 to 10, the y-axis ranges from -1 to 7. These graphs collectively illustrate different types of data relationships, showcasing both positive and negative correlations between the variables.
Transcribed Image Text:The image comprises five scatter plot graphs arranged in a grid layout. Each graph displays a set of blue data points representing a relationship between variables plotted on the x and y axes. Here is a detailed explanation of each graph: 1. **Top Left Graph**: - **Description**: It shows a downward trend, where y-values decrease as x-values increase. - **Axes**: The x-axis ranges from 1 to 10, the y-axis ranges from 7 to -1. 2. **Top Middle Graph**: - **Description**: Similar to the top left, this graph shows a descending pattern, with y-values dropping as x-values go up. - **Axes**: The x-axis ranges from 1 to 10, the y-axis ranges from 7 to -1. 3. **Top Right Graph**: - **Description**: Displays an upward trend, with y-values increasing as x-values increase, suggesting positive correlation. - **Axes**: The x-axis ranges from 1 to 10, the y-axis ranges from -1 to 7. 4. **Bottom Left Graph**: - **Description**: Shows a gentle downward curve, with y-values slightly decreasing as x-values increase. - **Axes**: The x-axis ranges from 1 to 10, the y-axis ranges from 7 to -1. 5. **Bottom Right Graph**: - **Description**: It features an upward curve, with y-values rising along with x-values, representing a positive correlation. - **Axes**: The x-axis ranges from 1 to 10, the y-axis ranges from -1 to 7. These graphs collectively illustrate different types of data relationships, showcasing both positive and negative correlations between the variables.
### Match the Graphs with the Corresponding Formulas Below are a set of formulas and graphs. Your task is to match each graph with its corresponding formula. #### Formulas: 1. \( s_n = \frac{3}{n} \) 2. \( s_n = 3 + \frac{(-1)^n}{n} \) 3. \( s_n = 3 - \frac{4}{n} \) 4. \( s_n = 3 + \frac{4}{n} \) #### Graphs: - **Graph A:** - This graph shows a sequence of points that starts at a high value and decreases, approaching zero as \( n \) increases. - **Graph B:** - This graph displays points that oscillate slightly around a horizontal line, generally stabilizing to a value above zero as \( n \) increases. - **Graph C:** - This graph shows points that start at a value below zero and increase, approaching a positive value as \( n \) increases. - **Graph D:** - This graph illustrates a sequence of points that start close to the horizontal axis, gradually increasing to approach a positive value as \( n \) increases. *Click on a graph to enlarge it.* Use your understanding of sequences and limits to make the appropriate matches!
Transcribed Image Text:### Match the Graphs with the Corresponding Formulas Below are a set of formulas and graphs. Your task is to match each graph with its corresponding formula. #### Formulas: 1. \( s_n = \frac{3}{n} \) 2. \( s_n = 3 + \frac{(-1)^n}{n} \) 3. \( s_n = 3 - \frac{4}{n} \) 4. \( s_n = 3 + \frac{4}{n} \) #### Graphs: - **Graph A:** - This graph shows a sequence of points that starts at a high value and decreases, approaching zero as \( n \) increases. - **Graph B:** - This graph displays points that oscillate slightly around a horizontal line, generally stabilizing to a value above zero as \( n \) increases. - **Graph C:** - This graph shows points that start at a value below zero and increase, approaching a positive value as \( n \) increases. - **Graph D:** - This graph illustrates a sequence of points that start close to the horizontal axis, gradually increasing to approach a positive value as \( n \) increases. *Click on a graph to enlarge it.* Use your understanding of sequences and limits to make the appropriate matches!
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