Describe functions by analyzing graphs. Identify intervals of increasing, decreasing, linear, or nonlinear activity.
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Lessons 11 and 12 focus on graphical representations of functions and understanding them qualitatively. In Lesson 11, students analyze the structural appearance of graphs to understand and describe how the behavior of the function changes (MP.7). In Lesson 12, students sketch graphs when given descriptions.
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Use the graph of the function below to answer the questions that follow.
Below are two graphs that look the same. Note that the first graph shows the distance of a car from home as a function of time, and the second graph shows the speed of a different car as a function of time.
Describe what someone who observes each car’s movement would see in each case.
Distance, accessed on Oct. 27, 2017, 10:54 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Antonio and Juan are in a 4-mile bike race. The graph below shows the distance of each racer (in miles) as a function of time (in minutes).
Bike Race, accessed on Oct. 27, 2017, 10:55 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Use the graph below to answer the questions that follow.
Grade 8 Mathematics > Module 6 > Topic A > Lesson 4 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?