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Draw a mapping diagram for the graph. Then describe the pattern of inputs and outpu 3 13. 14. 15. 12 35 10 30 25 20 15 19 0123 4567 891

Draw a mapping diagram for the graph. Then describe the pattern of inputs and outpu 3 13. 14. 15. 12 35 10 30 25 20 15 19 0123 4567 891

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Educational Website Transcription** **Section: Mapping Diagrams and Graph Analysis** **Exercise 13-15: Mapping Diagrams** - **Exercise 13:** - A coordinate graph with an x and y-axis ranging from -3 to 3. Various points are plotted on the graph which likely require analysis or interpretation to form a mapping diagram. - **Exercise 14:** - A coordinate graph with x-axis ranging from 0 to 12 and y-axis ranging from 0 to 12. The graph contains plotted points indicating a pattern between inputs and outputs. - **Exercise 15:** - A coordinate graph with an x-axis ranging from 0 to 9 and y-axis ranging from 0 to 40. Multiple data points illustrate relationships that need exploration through a mapping diagram. **Task:** Draw a mapping diagram for each graph and describe the pattern of inputs and outputs. --- **Section: Real-life Application of Mapping - SCUBA DIVING** **Exercise 16: Understanding Pressure Changes with Depth** - The normal pressure at sea level is one atmosphere (1 ATM). As you descend below sea level, the pressure increases by 1 ATM for every 10 meters of depth. **Tasks:** a. Complete the mapping diagram for depth (input) versus pressure (output). b. Is the relation a function? Provide an explanation. c. List the ordered pairs, and then plot these pairs on a coordinate plane for visual understanding. d. Compare the mapping diagram and the graph. Which representation do you prefer? Why? **Inputs and Corresponding Outputs:** - **Depth (Input):** 10 m, 20 m, 30 m, 40 m, 50 m - **Pressure (Output):** 2 ATM, 3 ATM, 4 ATM, 5 ATM, 6 ATM **Research Task:** Investigate common depths reached by scuba divers who are beginners. **Visuals:** Image suggests a diver underwater, aligning with the scuba diving theme, reinforcing the concept of pressure changes with depth.
Transcribed Image Text:**Educational Website Transcription** **Section: Mapping Diagrams and Graph Analysis** **Exercise 13-15: Mapping Diagrams** - **Exercise 13:** - A coordinate graph with an x and y-axis ranging from -3 to 3. Various points are plotted on the graph which likely require analysis or interpretation to form a mapping diagram. - **Exercise 14:** - A coordinate graph with x-axis ranging from 0 to 12 and y-axis ranging from 0 to 12. The graph contains plotted points indicating a pattern between inputs and outputs. - **Exercise 15:** - A coordinate graph with an x-axis ranging from 0 to 9 and y-axis ranging from 0 to 40. Multiple data points illustrate relationships that need exploration through a mapping diagram. **Task:** Draw a mapping diagram for each graph and describe the pattern of inputs and outputs. --- **Section: Real-life Application of Mapping - SCUBA DIVING** **Exercise 16: Understanding Pressure Changes with Depth** - The normal pressure at sea level is one atmosphere (1 ATM). As you descend below sea level, the pressure increases by 1 ATM for every 10 meters of depth. **Tasks:** a. Complete the mapping diagram for depth (input) versus pressure (output). b. Is the relation a function? Provide an explanation. c. List the ordered pairs, and then plot these pairs on a coordinate plane for visual understanding. d. Compare the mapping diagram and the graph. Which representation do you prefer? Why? **Inputs and Corresponding Outputs:** - **Depth (Input):** 10 m, 20 m, 30 m, 40 m, 50 m - **Pressure (Output):** 2 ATM, 3 ATM, 4 ATM, 5 ATM, 6 ATM **Research Task:** Investigate common depths reached by scuba divers who are beginners. **Visuals:** Image suggests a diver underwater, aligning with the scuba diving theme, reinforcing the concept of pressure changes with depth.
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