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Activities include drawing arrows between inputs and outputs, listing ordered pairs, and completing diagrams for real-life scenarios such as songs, scuba diving depth and pressure, and movie costs, followed by practice exercises and error analysis.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/mapping-diagrams-section-91-tables-graphs-and-functions/665526/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/mapping-diagrams-section-91-tables-graphs-and-functions/665526.png","ImageObject",300,407,{"name":42,"@type":43},"MrHarris58","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-29",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What is a mapping diagram and how does it represent a function?","Question",{"text":62,"@type":63},"A mapping diagram shows inputs and outputs where each input is paired with exactly one output. 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How can it be used to represent a function? \n 1 ACTIVITY: Constructing Mapping Diagrams \nWork with a partner. Copy and complete the mapping diagram. \na. Area A Input, x Output, A \n2 \nx \nb. Perimeter P \n2 \nx \nc. Circumference C \nInput, x Output, P \nInput, r Output, C \nd. Volume V \n3 \nInput, h Output, V \n366 Chapter 9 Tables, Graphs, and Functions \n2 ACTIVITY: Interpreting Mapping Diagrams \nWork with a partner. Describe the pattern in the mapping diagram. Copy and complete the diagram. Find two earlier lessons where you used a similar function. \na. Input, d Output, P \nc. Input, n Output, S \nb. Input, t Output, M \nd. Input, x Output, A \n3. IN YOUR OWN WORDS What is a mapping diagram? How can itbe used to represent a function? \n4. Construct a mapping diagram that represents a function you have studied. \n “I made a mapping diagram.” \n “It shows how I feel about my skateboard with each passing day.” \nUse what you learned about mapping diagrams to complete Exercises 3–5 on page 370. \nSection 9.1 Mapping Diagrams 367 \nOrdered pairs can be used to show inputs and outputs. \n(0, 1) (1, 2) (2, 4) \n Outputs \nFunctions and Mapping Diagrams \nA function is a relationship that pairs each input with exactly one output. A function can be represented by ordered pairs or a mapping diagram. \nOrdered Pairs \n(0, 1) \n(1, 2) \n(2, 4) \nMapping Diagram Input Output \n0 1 1 2 \n2 4 \nEXAMPLE 1 ~~Listing Ordered Pairs~~ List the ordered pairs shown in the mapping diagram. \nExercises 6–8 \na. Input Output \nb. \nInput Output \na. The ordered pairs are (1, 3), b. The ordered pairs are (0, 2),(2, 6), (3, 9), and (4, 12) . (1, 0), (2, 2), and (4, 3) . \nList the ordered pairs shown in the mapping diagram. \n1. Input Output \n2. Input Output \n368 \nChapter 9 \nTables, Graphs, and Functions \nEXAMPLE 2 ~~Drawing a Mapping Diagram~~ \nDraw a mapping diagram of (0, 4),(2, 6),(3, 5), and (5, 9). \nEXAMPLE \nInput Output \nList the inputs and outputs in order from least to greatest. \nInputs: 0, 2, 3, 5 \nOutputs: 4, 5, 6, 9 \nDraw arrows from the inputs to their outputs. \nInput Output \n3 ~~Describing a Mapping Diagram~~ \nDescribe the pattern of inputs and outputsin the mapping diagram. \nLook at the relationship between the inputs and outputs. \nAs each input increases by 1, the output increases by 15. \n+1 \n+1 \n+1 \nInput Output \n+15 \n+15 \n+15 \nExercises 9–17 \n3. Draw a mapping diagram of (1, 2),(2, 4),(5, 3), and (8, 1) . \n4. Describe the pattern of inputs and outputs in the mapping diagram shown. \nInput Output \nEXAMPLE 4 ~~Real~~-~~Life Application~~ \nNumber of Songs Played \n810714 \nThe table shows the number of songs played by four bands at a festival and the amount of time each band played. Use the table to draw a mapping diagram. \nLet the number of songs played be the inputsand the times onstage be the outputs. \nInputs: 7, 8, 10, 14 \nOutputs: 45, 60, 90 \nTime Onstage (minutes) \n45 \n60 \n45 \n90 \n45 \n60 \n90 \n7 8 \n10 \n14 \nInput Output \n5. WHAT IF? In Example 4, a fifth band plays 12 songs and is onstage for 70 minutes. Draw a mapping diagram for the five bands. \nSection 9.1 Mapping Diagrams 369 \n1. VOCABULARY In an ordered pair, which number represents the input? the output? \n2. OPEN-ENDED Draw a mapping diagram where the number of inputs is greater than the number of outputs. \nDescribe the pattern in the mapping diagram. Copy and complete the diagram. \n3. Input Output 4. Input Output 5. Input Output \nList the ordered pairs shown in the mapping diagram. \n1 6. Input Output 7. Input Output 8. Input Output \nDraw a mapping diagram of the set of ordered pairs. \n2 9. (1, 3),(5, 7),(8, 10),(14, 16) 10. (0, 10),(4, 6),(6, 4),(7, 3) 11. (0, 11),(1, 8),(4, 15),(6, 19) 12. (1, 0),(2, 0),(3, 0),(4, 2),(5, 2) \n13. ERROR ANALYSIS Describe and correct the error in drawing a mapping diagram of the set of ordered","cbCairVXPv7DAE2Q","https://ap.wps.com/l/cbCairVXPv7DAE2Q","pdf",2814219,"English","# 9.1 Mapping Diagrams\n## What Is a Mapping Diagram?\n## Constructing Mapping Diagrams\n## Interpreting Mapping Diagrams\n## Functions and Mapping Diagrams\n## Ordered Pairs\n## Exercises\n## Vocabulary and Open-Ended Questions","[{\"question\":\"What is a mapping diagram and how does it represent a function?\",\"answer\":\"A mapping diagram shows inputs and outputs where each input is paired with exactly one output. It can represent a function by using arrows from inputs to outputs.\"},{\"question\":\"How do you list ordered pairs from a mapping diagram?\",\"answer\":\"Identify each input and its matched output, then write them as ordered pairs in the form (input, output).\"},{\"question\":\"What patterns can you describe in mapping diagrams?\",\"answer\":\"You can describe relationships between inputs and outputs, such as how the output changes as the input increases, by comparing corresponding values in the diagram.\"}]","Mapping Diagrams - Section 9.1 - Tables, Graphs, and Functions | PDF",15]